TP
Toby Pereira
Tue, Dec 20, 2016 5:50 PM
With this, the changeable score vote won't necessarily find the Condorcet winner, but I think this would be a feature rather than a bug. For example, if there are two frontrunners (A and B) and a "nobody" candidate (C), you might have the following preferences:
49: A>C>B49: B>C>A2: C>A>B
C is the Condorcet winner, but the voters who put this candidate second might still consider them unfit or have no opinion on them. The 98 A or B voters might give zeros initially to both the other two candidates, so then there is unlikely to ever be a strategic push that gets C elected.
Also, even if not everyone is engaged enough to want to change their vote at any point, it should still yield decent results. It does also depend on the type of poll, and I think there would be some online polls that it would be suited to.
Toby
From: Michael Ossipoff <email9648742@gmail.com>
And for those that are likely to have an involved electorate that are likely to be knowledgeable about the system, I would suggest score voting but with live totals published and changeable votes. So people can enter their scores, but if the current result suggested they will need to adopt a more strategic approach, they can change their vote accordingly. The only other thing I would add is that the end time should probably be in some way non-deterministic. Otherwise the live updates are likely to be less effective. People might withhold their vote until the last minute, or have a completely false vote that they change at the last minute. So you might have 24 hours guaranteed (or however long is deemed appropriate), and then it might randomly end with a half life of an hour or something (which could be longer if the initial guaranteed time is longer).
Yes, that would be a good reliable way to find the CWs. It could be feasible in a meeting-room, but, for most online polls, it isn't feasible. For one thing, it's difficult enough to get people to vote once.
With this, the changeable score vote won't necessarily find the Condorcet winner, but I think this would be a feature rather than a bug. For example, if there are two frontrunners (A and B) and a "nobody" candidate (C), you might have the following preferences:
49: A>C>B49: B>C>A2: C>A>B
C is the Condorcet winner, but the voters who put this candidate second might still consider them unfit or have no opinion on them. The 98 A or B voters might give zeros initially to both the other two candidates, so then there is unlikely to ever be a strategic push that gets C elected.
Also, even if not everyone is engaged enough to want to change their vote at any point, it should still yield decent results. It does also depend on the type of poll, and I think there would be some online polls that it would be suited to.
Toby
From: Michael Ossipoff <email9648742@gmail.com>
And for those that are likely to have an involved electorate that are likely to be knowledgeable about the system, I would suggest score voting but with live totals published and changeable votes. So people can enter their scores, but if the current result suggested they will need to adopt a more strategic approach, they can change their vote accordingly. The only other thing I would add is that the end time should probably be in some way non-deterministic. Otherwise the live updates are likely to be less effective. People might withhold their vote until the last minute, or have a completely false vote that they change at the last minute. So you might have 24 hours guaranteed (or however long is deemed appropriate), and then it might randomly end with a half life of an hour or something (which could be longer if the initial guaranteed time is longer).
Yes, that would be a good reliable way to find the CWs. It could be feasible in a meeting-room, but, for most online polls, it isn't feasible. For one thing, it's difficult enough to get people to vote once.
MO
Michael Ossipoff
Wed, Dec 21, 2016 3:21 AM
On 20 Dec 2016, at 01:33, Michael Ossipoff email9648742@gmail.com wrote:
We have no reason to worry about offensive strategy in CIVS polls.
And so MAM is the best choice for CIVS polls. MAM is one of the
rank-counts that CIVS supports.
Ok, MAM is a quite decent method. If strategic voting is minimal, I guess
you pick the method that gives best results with sincere votes. I'm still
lacking good understanding of why exactly MAM would produce best winners
with sincere votes.
MAM is the ideal, among the methods that look only at pairwise-defeats and
their strengths, and that comes from MAM's definition:
MAM:
A pairwise defeat is affirmed if it isn't the weakest defeat in a cycle
whose other defeats are affirmed.
A alternative wins if it doesn't have an affirmed defeat.
[end of MAM definition]
It couldn't get any more minimal & ideal than that. MAM (unlike Beatpath,
etc.) never unnecessarily disregards a pairwise defeat (by electing someone
who has the defeat).
In a method based only on pairwise defeats & their strengths, the only
thing that should nullify a defeat would be if that defeat is the weakest
in a cycle, and if the other defeats in that cycle aren't nullified in that
way.
Additionally, MAM has excellent burial-deterrence & thwarting. That's why I
use MAM, in Pairwise-Winner(MAM, Smith,MMPO). ...for MAM's
burial-deterrence. But MMPO, & not MAM, is chicken-dilemma defection-proof,
which is why I like to combine both of their strategic advantages, in
P(MAM, Smith,MMPO), for polls with possibly offensive-strategic voters.
When offensive strategy is used against the CWs, s/he'll be in the voted
Smith-set. That's a good reason to elect from the voted Smith-set, so that
the CWs can maybe be rescued.
In theory that might save the CWs in some very rare cases.
I can't say why it's important to guarantee that the winner is in the
voted Smith-set, other than that it confers compliance with various
criteria, including Mutual-Majority.
That's a good answer since there are situations where one can justify
electing from a Smith set that consists of very similar minded clones. The
top cycle can be sincere or strategic. The same matrix can however probably
be also a result of sincere votes where the Smith set candidates are not
clones but a much more competitive group. In such cases it could make sense
to elect outside the Smith set. One key point here is that information in
the matrix is limited, and it is impossible to say if there are clones, and
which preferences are strong and which ones weak.
But, with pairwise-count methods, the number of people voting a preference
stands-in as an indication of its importance, imperfect though that may be.
It's important to find out the CWs, because that's the best that anyone can
expect to get. Truncation-proof MAM & MMPO still elect the CWs when someone
truncates it. MAM's deterrence of burial, improves the likelihood of
electing the CWs if there is one--& there usually is one.
But, because one member of the voted Smith set will be the CWs, if
truncation or burial is being attempted against it (neuter gender because
I'm talking about poll-alternatives) then that means that disqualifying
non-members of the voted Smith-set narrows the field in a way favorable to
the CWs.
It is not possible to tell if there was a CWs.
True, but if there is one, then it will win even if there's a
truncation-caused cycle. Truncation-proofness is important, even in a
sincere electorate, because truncation can be non-strategic (lazy, hurried,
principled, etc.).
The top loop can be sincere as well (or a result of various good and bad
strategies). And the best sincere winner might be also outside the Smith
set.
Certainly, because it would be possible for the alternative satisfactory to
the most people to be outside the Smith set. But probably it will usually
be the CWs, or in the sincere Smith set if there isn't a CWs.
Note that electing outside the Smith set may sometimes also help us, e.g.
by making strategic plans void by not electing the (possibly strongly
top-looped) favourite of the strategists.
Maybe, but, by pairwise-count standards, electing from the Smith set keeps
the winner among the pairwise publicly-favored candidates.
I don't understand your definition of "pairwise publicly-favored
candidates". Why can't candidates outside the Smith set be such candidates?
Because, pairwise is what the Smith set is about. Something outside the
Smith set might be more approved than the Smith set members, but it won't
be pairwise publicly preferred to them.
I mean situations where the leading candidate outside the Smith set could
lose by one vote to all the Smith set members. Losing only marginally to
many candidates could be a better result than losing a lot to fewer
candidates.
Sure, that could be argued on ethical grounds. But pairwise defeats are
what's important if you want to avoid an angry majority who prefer someone
else to the winner.
And the CWs is important to find, in polls, because it's the best that
anyone can get (unless they're a good offensive strategist, in an election
or poll using a method vulnerable to that strategy).
Of course, in an election, when Approval elects the candidate approved,
considered satisfactory by the most people, is probably more important than
electing the CWs or from the sincere Smith-set.
Also pairwise comparisons can sometimes lead to situations where best
candidate (based on those pairwise comparisons) is found outside the Smith
set. (see the marginal loss example above)
Yes. looking at the strength of pairwise oppositions instead of at pairwise
defeats. But the pairwise defeats have great importance in regards to
finding the best that we can get.
MAM, by itself would surely, it seems to me, be the best way to find the
CWs, for sincere voters.
All Condorcet methods can find the CWs with sincere votes.
True, but truncation needn't be strategic, and so truncation-proofness is
important even with the most sincere electorate.
Besides, when MAM & Beatpath give different winners, MAM's winner pairbeats
Beatpath's winner by a factor of several to 1. That's a result of MAM
disregarding as few pairwise defeats as possible.
[Replying farther down] :
I'm sure there will always be some irrational behaviour, but that might be
just general noise, and would not influence the election. If some large
grouping will use some irrational strategy, and as a result will make the
outcome of the election worse from their point of view, maybe they will
learn and will vote rationally (sincerely or strategically) in the next
election.
If the CWs is in your strong bottom-set, then burial, even when it risks
electing a worse member of your strong bottom-set, isn't irrational, if
there's any chance of successfully changing the winner to someone in your
strong top-set.
If we were using Condorcet, and if the expected CWs were a Repugnocrat,
I'd routinely use burial strategy, every time, in hopes of electing a
progressive. That's good strategy.
Ok, if your preferences are A >>>>> B > C, and your guess is that B is a
CWs, then it would be quite risk free to try to create cycles. It is
however quite possible that your vote will be part of the "general noise".
Some C supporters could also compromise (= top rank B) if they believe that
B's victory is not certain, and some B supporters could rank A lowest if
they believe that many A supporters plan to bury B.
Sure, those are good defensive strategies against burial. But I don't care
which Repugnocrat wins. So if there's any chance that I can strategically
elect a progressive, I'd bury.
(Truncation wouldn't work in MAM, or MDDA, and it wouldn't work in MDDAsc
against someone who is majority-approved, when done by someone whose
candidate isn't majority-approved. And it wouldn't work in MAM, MDDA, or
MDDAsc against a candidate top-ranked by a majority.)
Many A supporters would not like the idea of increasing the chances of C
winning the election.
Yes, there are many Democrat-overcompromiser suckers.
P.T. Barnum, that great social scientist, pointed out that there's one born
every minute.
Many voters would vote sincerely since that's what they believe is the
right thing to do.
Voting in way that's more likely to elect someone who won't hurt a lot of
people is hardly unethical.
There are so many parameters and uncertainty in polls that coherent
strategic voting may not be common.
If Sleaze-Democrat isn't really the CWs, then youj're no worse off when you
bury hir. It just won't matter.
Burying someone in your strong bottom-set doesn't need good predictive
information.
It may not be easy to get sufficient number of strategic voters to follow
the plan.
Yes, no one should count on the situation improving, or a better world ever
somehow arriving.
But a plan would be something different from what I meant. I just spoke of
how I'd vote.
I have been asking for generic strategic guidance for Condorcet elections.
I think you are close to proposing one rule here. Maybe something like "if
you strongly dislike the expected winner, bury it under all such candidates
that are not much worse than it".
Maybe add "if some of your favourite candidates are expected to beat
those candidates".
...or even if not. Burial can elect someone pairbeaten by the CWs.
Maybe you can improve my formulation of that possible strategic advice.
Maybe simulations could tell if that strategy does more good than harm
[endquote]
Strategy can't do any significant harm if the CWs is in your strong
bottom-set.
But I emphasize that I wouldn't expect that situation, because I give the
other votes credit for better judgement. Jill is the CWs in my poll at CIVS.
after the election but only in the ballot when voting). This whole process
would be repeated few times.
But people would then be using counterstrategy agains the declared
offensive strategy, and that would make it unrealistic, because in real
elections, the voters might not be as adept at counterstrategy.
But, ever since EM started, I've always felt that poll are super useful &
valuable, as the only way to find out what it's like to use the various
voting-systems. You probably know that I started lots of polls at EM.
They've fallen out of fashion, and I consider that regrettable, because you
can't fully evaluate & compare voting-systems without actually trying
them. Voting in polls, and counting polls.
So yes, I'm in favor of polls at EM. Regrettably no one else is.
Yes, polls can be very helpful. And paper work sometimes too, if
disciplined enough.
I have great trust on the skills of people on this mailing list, but so
far I have not seen any good strategic guidance for voters or parties in
real life Condorcet elections.
Well, I mentioned, above, that I'd routinely use burial strategy when the
expected CWs is in my strong bottom-set, in an official Condorcet election.
Yes. If you can, please upgrade my description above to something that you
believe to be valid guidance to regular voters. (Alternatively you can give
also strategic rules for parties, that may then give further guidance to
their supporters).
My best suggestion would be to top-rank all of the progressive candidates
(or approve (only) them all, if the method is Approval).
In the very unlikely situation where the likely CWs is a Democrat, I'd say,
"Let's bury hir under the Repugnican."
Here's another one that may work e.g. against some minmax style Condorcet
methods. "If some unwanted party/grouping has numerous equally disliked
candidates, rank them in a loop in alphabetical order, starting from a
random candidate".
Sure, there's no reason to not try that, in the methods in which it could
work. Of course it wouldn't work in MAM. But it could work in the methods
that I like best for official elections.
Michael Ossipoff
On Mon, Dec 19, 2016 at 9:50 PM, Juho Laatu <juho.laatu@gmail.com> wrote:
> On 20 Dec 2016, at 01:33, Michael Ossipoff <email9648742@gmail.com> wrote:
>
>
> We have no reason to worry about offensive strategy in CIVS polls.
>
> And so MAM is the best choice for CIVS polls. MAM is one of the
> rank-counts that CIVS supports.
>
>
> Ok, MAM is a quite decent method. If strategic voting is minimal, I guess
> you pick the method that gives best results with sincere votes. I'm still
> lacking good understanding of why exactly MAM would produce best winners
> with sincere votes.
>
MAM is the ideal, among the methods that look only at pairwise-defeats and
their strengths, and that comes from MAM's definition:
MAM:
A pairwise defeat is affirmed if it isn't the weakest defeat in a cycle
whose other defeats are affirmed.
A alternative wins if it doesn't have an affirmed defeat.
[end of MAM definition]
It couldn't get any more minimal & ideal than that. MAM (unlike Beatpath,
etc.) never unnecessarily disregards a pairwise defeat (by electing someone
who has the defeat).
In a method based only on pairwise defeats & their strengths, the only
thing that should nullify a defeat would be if that defeat is the weakest
in a cycle, and if the other defeats in that cycle aren't nullified in that
way.
Additionally, MAM has excellent burial-deterrence & thwarting. That's why I
use MAM, in Pairwise-Winner(MAM, Smith,MMPO). ...for MAM's
burial-deterrence. But MMPO, & not MAM, is chicken-dilemma defection-proof,
which is why I like to combine both of their strategic advantages, in
P(MAM, Smith,MMPO), for polls with possibly offensive-strategic voters.
>
> When offensive strategy is used against the CWs, s/he'll be in the voted
>> Smith-set. That's a good reason to elect from the voted Smith-set, so that
>> the CWs can maybe be rescued.
>>
>>
>> In theory that might save the CWs in some very rare cases.
>>
>
> I can't say why it's important to guarantee that the winner is in the
> voted Smith-set, other than that it confers compliance with various
> criteria, including Mutual-Majority.
>
>
> That's a good answer since there are situations where one can justify
> electing from a Smith set that consists of very similar minded clones. The
> top cycle can be sincere or strategic. The same matrix can however probably
> be also a result of sincere votes where the Smith set candidates are not
> clones but a much more competitive group. In such cases it could make sense
> to elect outside the Smith set. One key point here is that information in
> the matrix is limited, and it is impossible to say if there are clones, and
> which preferences are strong and which ones weak.
>
But, with pairwise-count methods, the number of people voting a preference
stands-in as an indication of its importance, imperfect though that may be.
It's important to find out the CWs, because that's the best that anyone can
expect to get. Truncation-proof MAM & MMPO still elect the CWs when someone
truncates it. MAM's deterrence of burial, improves the likelihood of
electing the CWs if there is one--& there usually is one.
>
> But, because one member of the voted Smith set will be the CWs, if
> truncation or burial is being attempted against it (neuter gender because
> I'm talking about poll-alternatives) then that means that disqualifying
> non-members of the voted Smith-set narrows the field in a way favorable to
> the CWs.
>
>
> It is not possible to tell if there was a CWs.
>
True, but if there is one, then it will win even if there's a
truncation-caused cycle. Truncation-proofness is important, even in a
sincere electorate, because truncation can be non-strategic (lazy, hurried,
principled, etc.).
> The top loop can be sincere as well (or a result of various good and bad
> strategies). And the best sincere winner might be also outside the Smith
> set.
>
Certainly, because it would be possible for the alternative satisfactory to
the most people to be outside the Smith set. But probably it will usually
be the CWs, or in the sincere Smith set if there isn't a CWs.
>
> Note that electing outside the Smith set may sometimes also help us, e.g.
>> by making strategic plans void by not electing the (possibly strongly
>> top-looped) favourite of the strategists.
>>
>
> Maybe, but, by pairwise-count standards, electing from the Smith set keeps
> the winner among the pairwise publicly-favored candidates.
>
>
> I don't understand your definition of "pairwise publicly-favored
> candidates". Why can't candidates outside the Smith set be such candidates?
>
Because, pairwise is what the Smith set is about. Something outside the
Smith set might be more approved than the Smith set members, but it won't
be pairwise publicly preferred to them.
> I mean situations where the leading candidate outside the Smith set could
> lose by one vote to all the Smith set members. Losing only marginally to
> many candidates could be a better result than losing a lot to fewer
> candidates.
>
Sure, that could be argued on ethical grounds. But pairwise defeats are
what's important if you want to avoid an angry majority who prefer someone
else to the winner.
And the CWs is important to find, in polls, because it's the best that
anyone can get (unless they're a good offensive strategist, in an election
or poll using a method vulnerable to that strategy).
>
> Of course, in an election, when Approval elects the candidate approved,
> considered satisfactory by the most people, is probably more important than
> electing the CWs or from the sincere Smith-set.
>
>
> Also pairwise comparisons can sometimes lead to situations where best
> candidate (based on those pairwise comparisons) is found outside the Smith
> set. (see the marginal loss example above)
>
Yes. looking at the strength of pairwise oppositions instead of at pairwise
defeats. But the pairwise defeats have great importance in regards to
finding the best that we can get.
>
> MAM, by itself would surely, it seems to me, be the best way to find the
> CWs, for sincere voters.
>
>
> All Condorcet methods can find the CWs with sincere votes.
>
True, but truncation needn't be strategic, and so truncation-proofness is
important even with the most sincere electorate.
Besides, when MAM & Beatpath give different winners, MAM's winner pairbeats
Beatpath's winner by a factor of several to 1. That's a result of MAM
disregarding as few pairwise defeats as possible.
[Replying farther down] :
>
> I'm sure there will always be some irrational behaviour, but that might be
>> just general noise, and would not influence the election. If some large
>> grouping will use some irrational strategy, and as a result will make the
>> outcome of the election worse from their point of view, maybe they will
>> learn and will vote rationally (sincerely or strategically) in the next
>> election.
>>
>
> If the CWs is in your strong bottom-set, then burial, even when it risks
> electing a worse member of your strong bottom-set, isn't irrational, if
> there's _any_ chance of successfully changing the winner to someone in your
> strong top-set.
>
> If we were using Condorcet, and if the expected CWs were a Repugnocrat,
> I'd routinely use burial strategy, every time, in hopes of electing a
> progressive. That's good strategy.
>
>
> Ok, if your preferences are A >>>>> B > C, and your guess is that B is a
> CWs, then it would be quite risk free to try to create cycles. It is
> however quite possible that your vote will be part of the "general noise".
> Some C supporters could also compromise (= top rank B) if they believe that
> B's victory is not certain, and some B supporters could rank A lowest if
> they believe that many A supporters plan to bury B.
>
Sure, those are good defensive strategies against burial. But I don't care
which Repugnocrat wins. So if there's any chance that I can strategically
elect a progressive, I'd bury.
(Truncation wouldn't work in MAM, or MDDA, and it wouldn't work in MDDAsc
against someone who is majority-approved, when done by someone whose
candidate isn't majority-approved. And it wouldn't work in MAM, MDDA, or
MDDAsc against a candidate top-ranked by a majority.)
> Many A supporters would not like the idea of increasing the chances of C
> winning the election.
>
Yes, there are many Democrat-overcompromiser suckers.
P.T. Barnum, that great social scientist, pointed out that there's one born
every minute.
> Many voters would vote sincerely since that's what they believe is the
> right thing to do.
>
Voting in way that's more likely to elect someone who won't hurt a lot of
people is hardly unethical.
> There are so many parameters and uncertainty in polls that coherent
> strategic voting may not be common.
>
If Sleaze-Democrat isn't really the CWs, then youj're no worse off when you
bury hir. It just won't matter.
Burying someone in your strong bottom-set doesn't need good predictive
information.
> It may not be easy to get sufficient number of strategic voters to follow
> the plan.
>
Yes, no one should count on the situation improving, or a better world ever
somehow arriving.
But a plan would be something different from what I meant. I just spoke of
how _I'd_ vote.
>
> I have been asking for generic strategic guidance for Condorcet elections.
> I think you are close to proposing one rule here. Maybe something like "if
> you strongly dislike the expected winner, bury it under all such candidates
> that are not much worse than it".
>
Good enough.
> Maybe add "if some of your favourite candidates are expected to beat
>
those candidates".
...or even if not. Burial can elect someone pairbeaten by the CWs.
Maybe you can improve my formulation of that possible strategic advice.
Maybe simulations could tell if that strategy does more good than harm
[endquote]
Strategy can't do any significant harm if the CWs is in your strong
bottom-set.
But I emphasize that I wouldn't expect that situation, because I give the
other votes credit for better judgement. Jill is the CWs in my poll at CIVS.
>
>
> after the election but only in the ballot when voting). This whole process
>> would be repeated few times.
>>
>
> But people would then be using counterstrategy agains the declared
> offensive strategy, and that would make it unrealistic, because in real
> elections, the voters might not be as adept at counterstrategy.
>
>
> But, ever since EM started, I've always felt that poll are super useful &
> valuable, as the only way to find out what it's like to use the various
> voting-systems. You probably know that I started lots of polls at EM.
> They've fallen out of fashion, and I consider that regrettable, because you
> can't fully evaluate & compare voting-systems without actually trying
> them. Voting in polls, and counting polls.
>
> So yes, I'm in favor of polls at EM. Regrettably no one else is.
>
>
> Yes, polls can be very helpful. And paper work sometimes too, if
> disciplined enough.
>
> I have great trust on the skills of people on this mailing list, but so
>> far I have not seen any good strategic guidance for voters or parties in
>> real life Condorcet elections.
>>
>
> Well, I mentioned, above, that I'd routinely use burial strategy when the
> expected CWs is in my strong bottom-set, in an official Condorcet election.
>
>
> Yes. If you can, please upgrade my description above to something that you
> believe to be valid guidance to regular voters. (Alternatively you can give
> also strategic rules for parties, that may then give further guidance to
> their supporters).
>
My best suggestion would be to top-rank all of the progressive candidates
(or approve (only) them all, if the method is Approval).
In the very unlikely situation where the likely CWs is a Democrat, I'd say,
"Let's bury hir under the Repugnican."
>
> Here's another one that may work e.g. against some minmax style Condorcet
> methods. "If some unwanted party/grouping has numerous equally disliked
> candidates, rank them in a loop in alphabetical order, starting from a
> random candidate".
>
Sure, there's no reason to not try that, in the methods in which it could
work. Of course it wouldn't work in MAM. But it could work in the methods
that I like best for official elections.
Michael Ossipoff
>
>
>
> ----
> Election-Methods mailing list - see http://electorama.com/em for list info
>
>
JL
Juho Laatu
Wed, Dec 21, 2016 9:36 AM
Ok, MAM is a quite decent method. If strategic voting is minimal, I guess you pick the method that gives best results with sincere votes. I'm still lacking good understanding of why exactly MAM would produce best winners with sincere votes.
MAM is the ideal, among the methods that look only at pairwise-defeats and their strengths, and that comes from MAM's definition:
MAM:
A pairwise defeat is affirmed if it isn't the weakest defeat in a cycle whose other defeats are affirmed.
A alternative wins if it doesn't have an affirmed defeat.
[end of MAM definition]
It couldn't get any more minimal & ideal than that. MAM (unlike Beatpath, etc.) never unnecessarily disregards a pairwise defeat (by electing someone who has the defeat).
In a method based only on pairwise defeats & their strengths, the only thing that should nullify a defeat would be if that defeat is the weakest in a cycle, and if the other defeats in that cycle aren't nullified in that way.
I look at the world from a somewhat different angle here. I don't see what the relevance of beatpaths is in real life. I mean that I can not see what difference it makes to the society if there is a chain of defeats with certain strengths, if the target is to elect the best leader or best some other alternative. Beatpaths seem to serve the need to linearize the opinions of the group, or to "break cycles", which I think is not in the requirements list of an election or poll. That is more like an aesthetic preference, or a mistaken idea that group opinions should be straightened to linear opinions. I agree that MAM could be seen as aesthetically beautiful, but I thus fail to see the connection to the targets of the election / poll (to find the best winner with sincere votes). In comparison for example the target of minmax is much clearer - elect a candidate that people will not oppose too much while he is in office, measured as strength of interest to change him to one of the competitors in opposition. Also approval and range are easy to explain from the "possible needs of the society" perspective.
Additionally, MAM has excellent burial-deterrence & thwarting. That's why I use MAM, in Pairwise-Winner(MAM, Smith,MMPO). ...for MAM's burial-deterrence. But MMPO, & not MAM, is chicken-dilemma defection-proof, which is why I like to combine both of their strategic advantages, in
P(MAM, Smith,MMPO), for polls with possibly offensive-strategic voters.
This is about strategic voting, not about which method is best with sincere votes. Not to be counted in favour of MAM in this branch of discussion.
I can't say why it's important to guarantee that the winner is in the voted Smith-set, other than that it confers compliance with various criteria, including Mutual-Majority.
That's a good answer since there are situations where one can justify electing from a Smith set that consists of very similar minded clones. The top cycle can be sincere or strategic. The same matrix can however probably be also a result of sincere votes where the Smith set candidates are not clones but a much more competitive group. In such cases it could make sense to elect outside the Smith set. One key point here is that information in the matrix is limited, and it is impossible to say if there are clones, and which preferences are strong and which ones weak.
But, with pairwise-count methods, the number of people voting a preference stands-in as an indication of its importance, imperfect though that may be.
It's important to find out the CWs, because that's the best that anyone can expect to get. Truncation-proof MAM & MMPO still elect the CWs when someone truncates it. MAM's deterrence of burial, improves the likelihood of electing the CWs if there is one--& there usually is one.
Yes. I think in this discussion we focus solely on methods where CWs is considered to be the ideal winner, and preference is measured solely as pairwise comparisons, that in most methods are derived from the pairwise matrix. And I claim that under these assumptions some methods can easily justify selecting the winner also outside the Smith set.
But, because one member of the voted Smith set will be the CWs, if truncation or burial is being attempted against it (neuter gender because I'm talking about poll-alternatives) then that means that disqualifying non-members of the voted Smith-set narrows the field in a way favorable to the CWs.
It is not possible to tell if there was a CWs.
True, but if there is one, then it will win even if there's a truncation-caused cycle.
Also some other member of the Smith set might win. And the CWs could be also outside of the Smith set as a result of strategic voting.
Truncation-proofness is important, even in a sincere electorate, because truncation can be non-strategic (lazy, hurried, principled, etc.).
Here my medicine would be to educate voters to cast fuller votes (to rank at least the potential winners). If they truncate for non-strategic reasons, we must assume that their preferences are flat with the rest of the candidates. It is not possible to tell which voters did that on purpose and which ones by mistake or laziness.
The top loop can be sincere as well (or a result of various good and bad strategies). And the best sincere winner might be also outside the Smith set.
Certainly, because it would be possible for the alternative satisfactory to the most people to be outside the Smith set. But probably it will usually be the CWs, or in the sincere Smith set if there isn't a CWs.
I wouldn't assume anything on the probability of finding the best winner within or outside the Smith set. With sincere votes that depends on what our criteria for the best winner are (when there is no CWs). With all kind of strategic and lazy votes, the location of the best winner is even more difficult to guess (it is e.g. possible that multiple groups try to bury the CWs).
Note that electing outside the Smith set may sometimes also help us, e.g. by making strategic plans void by not electing the (possibly strongly top-looped) favourite of the strategists.
Maybe, but, by pairwise-count standards, electing from the Smith set keeps the winner among the pairwise publicly-favored candidates.
I don't understand your definition of "pairwise publicly-favored candidates". Why can't candidates outside the Smith set be such candidates?
Because, pairwise is what the Smith set is about. Something outside the Smith set might be more approved than the Smith set members, but it won't be pairwise publicly preferred to them.
I claim that with some pairwise preference based criteria of best winner, the best winner could be outside of the Smith set. No references to approval or range style thinking needed. The simplest example is minmax (seen as a definition of the ideal winner). See comments above.
I mean situations where the leading candidate outside the Smith set could lose by one vote to all the Smith set members. Losing only marginally to many candidates could be a better result than losing a lot to fewer candidates.
Sure, that could be argued on ethical grounds. But pairwise defeats are what's important if you want to avoid an angry majority who prefer someone else to the winner.
And the CWs is important to find, in polls, because it's the best that anyone can get (unless they're a good offensive strategist, in an election or poll using a method vulnerable to that strategy).
Yes, pairwise preferences and CWs are the norm in this discussion. See above.
Of course, in an election, when Approval elects the candidate approved, considered satisfactory by the most people, is probably more important than electing the CWs or from the sincere Smith-set.
Also pairwise comparisons can sometimes lead to situations where best candidate (based on those pairwise comparisons) is found outside the Smith set. (see the marginal loss example above)
Yes. looking at the strength of pairwise oppositions instead of at pairwise defeats. But the pairwise defeats have great importance in regards to finding the best that we can get.
The simplest is pairwise margins. You could elect the candidate whose worst pairwise margin is least bad, and that candidate could be outside of the Smith set. Note that I see minmax not only as one of the methods but also as one possible definition of ideal winner with sincere votes (for some society with some set of needs).
Many voters would vote sincerely since that's what they believe is the right thing to do.
Voting in way that's more likely to elect someone who won't hurt a lot of people is hardly unethical.
But a society where nobody cheats is highly ethical :-).
Burying someone in your strong bottom-set doesn't need good predictive information.
This sounds like you are talking about a society that has been living too long under a two-party rule, and where things are either black or white, and where people hate to give up that way of thinking, and where people therefore will use also more civilised methods like ranked methods as if there were only black and white candidates (not meaning race here). :-)
Strategy can't do any significant harm if the CWs is in your strong bottom-set.
True for any method when the sincere winner is in the bottom-set.
BR, Juho
> On 21 Dec 2016, at 05:21, Michael Ossipoff <email9648742@gmail.com> wrote:
> Ok, MAM is a quite decent method. If strategic voting is minimal, I guess you pick the method that gives best results with sincere votes. I'm still lacking good understanding of why exactly MAM would produce best winners with sincere votes.
>
> MAM is the ideal, among the methods that look only at pairwise-defeats and their strengths, and that comes from MAM's definition:
>
> MAM:
>
> A pairwise defeat is affirmed if it isn't the weakest defeat in a cycle whose other defeats are affirmed.
>
> A alternative wins if it doesn't have an affirmed defeat.
>
> [end of MAM definition]
>
> It couldn't get any more minimal & ideal than that. MAM (unlike Beatpath, etc.) never unnecessarily disregards a pairwise defeat (by electing someone who has the defeat).
>
> In a method based only on pairwise defeats & their strengths, the only thing that should nullify a defeat would be if that defeat is the weakest in a cycle, and if the other defeats in that cycle aren't nullified in that way.
I look at the world from a somewhat different angle here. I don't see what the relevance of beatpaths is in real life. I mean that I can not see what difference it makes to the society if there is a chain of defeats with certain strengths, if the target is to elect the best leader or best some other alternative. Beatpaths seem to serve the need to linearize the opinions of the group, or to "break cycles", which I think is not in the requirements list of an election or poll. That is more like an aesthetic preference, or a mistaken idea that group opinions should be straightened to linear opinions. I agree that MAM could be seen as aesthetically beautiful, but I thus fail to see the connection to the targets of the election / poll (to find the best winner with sincere votes). In comparison for example the target of minmax is much clearer - elect a candidate that people will not oppose too much while he is in office, measured as strength of interest to change him to one of the competitors in opposition. Also approval and range are easy to explain from the "possible needs of the society" perspective.
> Additionally, MAM has excellent burial-deterrence & thwarting. That's why I use MAM, in Pairwise-Winner(MAM, Smith,MMPO). ...for MAM's burial-deterrence. But MMPO, & not MAM, is chicken-dilemma defection-proof, which is why I like to combine both of their strategic advantages, in
> P(MAM, Smith,MMPO), for polls with possibly offensive-strategic voters.
This is about strategic voting, not about which method is best with sincere votes. Not to be counted in favour of MAM in this branch of discussion.
>> I can't say why it's important to guarantee that the winner is in the voted Smith-set, other than that it confers compliance with various criteria, including Mutual-Majority.
>
> That's a good answer since there are situations where one can justify electing from a Smith set that consists of very similar minded clones. The top cycle can be sincere or strategic. The same matrix can however probably be also a result of sincere votes where the Smith set candidates are not clones but a much more competitive group. In such cases it could make sense to elect outside the Smith set. One key point here is that information in the matrix is limited, and it is impossible to say if there are clones, and which preferences are strong and which ones weak.
>
> But, with pairwise-count methods, the number of people voting a preference stands-in as an indication of its importance, imperfect though that may be.
>
> It's important to find out the CWs, because that's the best that anyone can expect to get. Truncation-proof MAM & MMPO still elect the CWs when someone truncates it. MAM's deterrence of burial, improves the likelihood of electing the CWs if there is one--& there usually is one.
Yes. I think in this discussion we focus solely on methods where CWs is considered to be the ideal winner, and preference is measured solely as pairwise comparisons, that in most methods are derived from the pairwise matrix. And I claim that under these assumptions some methods can easily justify selecting the winner also outside the Smith set.
>> But, because one member of the voted Smith set will be the CWs, if truncation or burial is being attempted against it (neuter gender because I'm talking about poll-alternatives) then that means that disqualifying non-members of the voted Smith-set narrows the field in a way favorable to the CWs.
>
> It is not possible to tell if there was a CWs.
>
> True, but if there is one, then it will win even if there's a truncation-caused cycle.
Also some other member of the Smith set might win. And the CWs could be also outside of the Smith set as a result of strategic voting.
> Truncation-proofness is important, even in a sincere electorate, because truncation can be non-strategic (lazy, hurried, principled, etc.).
Here my medicine would be to educate voters to cast fuller votes (to rank at least the potential winners). If they truncate for non-strategic reasons, we must assume that their preferences are flat with the rest of the candidates. It is not possible to tell which voters did that on purpose and which ones by mistake or laziness.
> The top loop can be sincere as well (or a result of various good and bad strategies). And the best sincere winner might be also outside the Smith set.
>
> Certainly, because it would be possible for the alternative satisfactory to the most people to be outside the Smith set. But probably it will usually be the CWs, or in the sincere Smith set if there isn't a CWs.
I wouldn't assume anything on the probability of finding the best winner within or outside the Smith set. With sincere votes that depends on what our criteria for the best winner are (when there is no CWs). With all kind of strategic and lazy votes, the location of the best winner is even more difficult to guess (it is e.g. possible that multiple groups try to bury the CWs).
>> Note that electing outside the Smith set may sometimes also help us, e.g. by making strategic plans void by not electing the (possibly strongly top-looped) favourite of the strategists.
>>
>> Maybe, but, by pairwise-count standards, electing from the Smith set keeps the winner among the pairwise publicly-favored candidates.
>
> I don't understand your definition of "pairwise publicly-favored candidates". Why can't candidates outside the Smith set be such candidates?
>
> Because, pairwise is what the Smith set is about. Something outside the Smith set might be more approved than the Smith set members, but it won't be pairwise publicly preferred to them.
I claim that with some pairwise preference based criteria of best winner, the best winner could be outside of the Smith set. No references to approval or range style thinking needed. The simplest example is minmax (seen as a definition of the ideal winner). See comments above.
> I mean situations where the leading candidate outside the Smith set could lose by one vote to all the Smith set members. Losing only marginally to many candidates could be a better result than losing a lot to fewer candidates.
>
> Sure, that could be argued on ethical grounds. But pairwise defeats are what's important if you want to avoid an angry majority who prefer someone else to the winner.
>
> And the CWs is important to find, in polls, because it's the best that anyone can get (unless they're a good offensive strategist, in an election or poll using a method vulnerable to that strategy).
Yes, pairwise preferences and CWs are the norm in this discussion. See above.
>> Of course, in an election, when Approval elects the candidate approved, considered satisfactory by the most people, is probably more important than electing the CWs or from the sincere Smith-set.
>
> Also pairwise comparisons can sometimes lead to situations where best candidate (based on those pairwise comparisons) is found outside the Smith set. (see the marginal loss example above)
>
> Yes. looking at the strength of pairwise oppositions instead of at pairwise defeats. But the pairwise defeats have great importance in regards to finding the best that we can get.
The simplest is pairwise margins. You could elect the candidate whose worst pairwise margin is least bad, and that candidate could be outside of the Smith set. Note that I see minmax not only as one of the methods but also as one possible definition of ideal winner with sincere votes (for some society with some set of needs).
> Many voters would vote sincerely since that's what they believe is the right thing to do.
>
> Voting in way that's more likely to elect someone who won't hurt a lot of people is hardly unethical.
But a society where nobody cheats is highly ethical :-).
> Burying someone in your strong bottom-set doesn't need good predictive information.
This sounds like you are talking about a society that has been living too long under a two-party rule, and where things are either black or white, and where people hate to give up that way of thinking, and where people therefore will use also more civilised methods like ranked methods as if there were only black and white candidates (not meaning race here). :-)
> Strategy can't do any significant harm if the CWs is in your strong bottom-set.
True for any method when the sincere winner is in the bottom-set.
BR, Juho
MO
Michael Ossipoff
Thu, Dec 22, 2016 5:14 AM
On 21 Dec 2016, at 05:21, Michael Ossipoff email9648742@gmail.com wrote:
Ok, MAM is a quite decent method. If strategic voting is minimal, I guess
you pick the method that gives best results with sincere votes. I'm still
lacking good understanding of why exactly MAM would produce best winners
with sincere votes.
MAM is the ideal, among the methods that look only at pairwise-defeats and
their strengths, and that comes from MAM's definition:
MAM:
A pairwise defeat is affirmed if it isn't the weakest defeat in a cycle
whose other defeats are affirmed.
A alternative wins if it doesn't have an affirmed defeat.
[end of MAM definition]
It couldn't get any more minimal & ideal than that. MAM (unlike Beatpath,
etc.) never unnecessarily disregards a pairwise defeat (by electing someone
who has the defeat).
In a method based only on pairwise defeats & their strengths, the only
thing that should nullify a defeat would be if that defeat is the weakest
in a cycle, and if the other defeats in that cycle aren't nullified in that
way.
I look at the world from a somewhat different angle here. I don't see what
the relevance of beatpaths is in real life.
Beatpath, not MAM, is defined in terms of beatpaths.
But maybe you just mean that a cycle can be called a pair of beatpaths in
both directions between 2 candidates.
The "relevance of cycles in real life?
I'll say it again (but I won't continue to keep saying it):
A pairwise-defeat is voted public preference.
A cycle renders meaningless the defeats in the cycle. Therefore cycles have
relevance.
I mean that I can not see what difference it makes to the society if there
is a chain of defeats with certain strengths, if the target is to elect the
best leader or best some other alternative.
You keep repeating that. And then, of course I keep repeating my answer to
it (but I won't continue doing so):
Sure, likely the Approval winner is better than the winner by a
pairwise-count method.
There are 2 reasons to consider a rank-method:
-
It's possible for a ranking method to provide a convenient, easy &
reliable means for avoiding chicken-dilemma.
-
Many people have a psychological need for rankings.
Some people think that they need to elect the CWs, which is easier with a
pairwise-count rank method. Some overcompromisers or rival parties would
avoid or soften their voting-errors, when voting with rankings.
- Finding the CWs, via a poll, can be important, because the CWs is
typically the best candidate that people can get?
Is there something familiar about this? Oh yes, that's it: This is the same
thing that we've both been saying over and over again. But I'm not going to
continue doing so.
....by which you mean cycles, because you presumably want to call a cycle a
pair of opposite-direction beatpaths between 2 candidates.
seem to serve the need to linearize the opinions of the group
No. Cycles are relevant if pairwise defeats are of interest. A pairwise
defeat is a voted public preference.
, or to "break cycles", which I think is not in the requirements list of
an election or poll.
Nonsense. Defeats in a cycle aren't saying anything about public wishes.
Should an election or poll reflect public wishes? :^) There are voting
systems that look only at pairwise preferences. MAM is one of them. MAM,
for example, has many desirable properties.
But I have no idea what your "reqirements list is (or what is the "best
winner" that you keep talking about). But that's ok. It's your business.
Far be it for me to tell you what your "requirements list" or "best winner"
should be.
Quite possibly your requirements list and your best winner aren't gotten by
pairwise-count methods. Fine. You've still got Approval, Score, and
Bucklin, all good methods.
That is more like an aesthetic preference, or a mistaken idea that group
opinions should be straightened to linear opinions.
I agree that MAM could be seen as aesthetically beautiful, but I thus fail
to see the connection to the targets of the election / poll (to find the
best winner with sincere votes).
That would depend on your (often referred to but never stated) opinion
about what is the target of the election or the best winner.
You (presumably) know what your target for the election/poll is, and what
your best winner would be. By all means feel free to implement your
opinions, when you choose a voting system!
Or do we all have to abide by your target and your best winner? :^)
In comparison for example the target of minmax is much clearer - elect a
candidate that people will not oppose too much while he is in office,
measured as strength of interest to change him to one of the competitors in
opposition.
MinMax has, for years, been widely-regarded as not doing as well as MAM, in
a number of ways. But if you like it better, then use it next time you do a
poll, or advocate it for electing officeholders where you live.
You have a right to do those things!
Go for it!
Also approval and range are easy to explain from the "possible needs of
the society" perspective.
Additionally, MAM has excellent burial-deterrence & thwarting. That's why
I use MAM, in Pairwise-Winner(MAM, Smith,MMPO). ...for MAM's
burial-deterrence. But MMPO, & not MAM, is chicken-dilemma defection-proof,
which is why I like to combine both of their strategic advantages, in
P(MAM, Smith,MMPO), for polls with possibly offensive-strategic voters.
This is about strategic voting
, not about which method is best with sincere votes.
I said that P(MAM, Smith,MMPO) is for electorates in which offensive
strategy would be particularly likely, unless deterred or at least thwarted.
Have we established that yet?
MAM is also very good with sincere voting. MAM is a component of
P(MAM, Smith,MMPO).
Not to be counted in favour of MAM in this branch of discussion.
That MAM is good with sincere votes is to be counted in MAM's favor.
[Replying farther down] :
I can't say why it's important to guarantee that the winner is in the
voted Smith-set, other than that it confers compliance with various
criteria, including Mutual-Majority.
That's a good answer since there are situations where one can justify
electing from a Smith set that consists of very similar minded clones. The
top cycle can be sincere or strategic. The same matrix can however probably
be also a result of sincere votes where the Smith set candidates are not
clones but a much more competitive group. In such cases it could make sense
to elect outside the Smith set. One key point here is that information in
the matrix is limited, and it is impossible to say if there are clones, and
which preferences are strong and which ones weak.
But, with pairwise-count methods, the number of people voting a preference
stands-in as an indication of its importance, imperfect though that may be.
It's important to find out the CWs, because that's the best that anyone
can expect to get. Truncation-proof MAM & MMPO still elect the CWs when
someone truncates it. MAM's deterrence of burial, improves the likelihood
of electing the CWs if there is one--& there usually is one.
Yes. I think in this discussion we focus solely on methods where CWs is
considered to be the ideal winner, and preference is measured solely as
pairwise comparisons, that in most methods are derived from the pairwise
matrix.
That's because, as I've already said many, many times, this thread
originated about polls that I conduct with the purpose of finding the CWs.
And I claim that under these assumptions some methods can easily justify
selecting the winner also outside the Smith set.
...because that will make the method more likely to choose the CWs when
there is one? :^)
But, as I said, I cordially invite you to use the methods of your choice,
for polls, and for your proposals for how to elect officeholders where you
reside.
[Replying farther down] :
But, because one member of the voted Smith set will be the CWs, if
truncation or burial is being attempted against it (neuter gender because
I'm talking about poll-alternatives) then that means that disqualifying
non-members of the voted Smith-set narrows the field in a way favorable to
the CWs.
It is not possible to tell if there was a CWs.
True, but if there is one, then it will win even if there's a
truncation-caused cycle.
Also some other member of the Smith set might win.
No kidding?
More likely with some methods than others. Choose the manner of selecting
from the Smith set accordingly.
But, primarily, do what you want.
And the CWs could be also outside of the Smith set as a result of
strategic voting.
No.
Truncation or burial against the CWs will result in a top-cycle that
includes the CWs.
Truncation-proofness is important, even in a sincere electorate, because
truncation can be non-strategic (lazy, hurried, principled, etc.).
Here my medicine would be to educate voters to cast fuller votes (to rank
at least the potential winners).
If you mean "Try to rank down to the CWs", then that's valid strategy for
trying to get the best you can (if that's your goal). You could also say
"Rank the best candidates.", or "Rank only your strong top-set."
If they truncate for non-strategic reasons, we must assume that their
preferences are flat with the rest of the candidates.
No. Maybe they're in a hurry. Maybe they don't want to bother or take the
time, even though they have lower preferences too.
But there's no point in assuming what you said, because your "If" is,
itself, an unsupported assumption. You don't know that they truncated for
nonstrategic reasons.
It is not possible to tell which voters did that on purpose and which ones
by mistake or laziness.
The top loop can be sincere as well (or a result of various good and bad
strategies). And the best sincere winner might be also outside the Smith
set.
Certainly, because it would be possible for the alternative satisfactory
to the most people to be outside the Smith set. But probably it will
usually be the CWs, or in the sincere Smith set if there isn't a CWs.
I wouldn't assume anything on the probability of finding the best winner
within or outside the Smith set.
Suit yourself.
In all of our EM polls, Approval, Score elected Condorcet's CWv.
[Replying farther down] :
With sincere votes that depends on what our criteria for the best winner
are (when there is no CWs). With all kind of strategic and lazy votes, the
location of the best winner is even more difficult to guess (it is e.g.
possible that multiple groups try to bury the CWs).
Note that electing outside the Smith set may sometimes also help us, e.g.
by making strategic plans void by not electing the (possibly strongly
top-looped) favourite of the strategists.
Maybe, but, by pairwise-count standards, electing from the Smith set
keeps the winner among the pairwise publicly-favored candidates.
I don't understand your definition of "pairwise publicly-favored
candidates". Why can't candidates outside the Smith set be such candidates?
Because, pairwise is what the Smith set is about. Something outside the
Smith set might be more approved than the Smith set members, but it won't
be pairwise publicly preferred to them.
I claim that with some pairwise preference based criteria of best winner,
the best winner could be outside of the Smith set.
Yes, evidently some pairwise preference based criteria that aren't about
pairwise defeats or their strength. Fine. You have a right to value
whatever standards you want to, and use whatever polling methods you want
to.
In polling, my purpose is finding the CWs (there usually is one).
But you're free to have entirely different goals & purposes. Go for it!
[Replyng farther down] :
No references to approval or range style thinking needed. The simplest
example is minmax (seen as a definition of the ideal winner). See comments
above.
I mean situations where the leading candidate outside the Smith set could
lose by one vote to all the Smith set members. Losing only marginally to
many candidates could be a better result than losing a lot to fewer
candidates.
Sure, that could be argued on ethical grounds. But pairwise defeats are
what's important if you want to avoid an angry majority who prefer someone
else to the winner.
And the CWs is important to find, in polls, because it's the best that
anyone can get (unless they're a good offensive strategist, in an election
or poll using a method vulnerable to that strategy).
Yes, pairwise preferences and CWs are the norm in this discussion. See
above.
Of course, in an election, when Approval elects the candidate approved,
considered satisfactory by the most people, is probably more important than
electing the CWs or from the sincere Smith-set.
Also pairwise comparisons can sometimes lead to situations where best
candidate (based on those pairwise comparisons) is found outside the Smith
set. (see the marginal loss example above)
Yes. looking at the strength of pairwise oppositions instead of at
pairwise defeats. But the pairwise defeats have great importance in regards
to finding the best that we can get.
The simplest is pairwise margins. You could elect the candidate whose
worst pairwise margin is least bad, and that candidate could be outside of
the Smith set.
You could do whatever you want to. whatever you think is best.
Not everyone would agree with you about the merits of margins. But don't
worry about that. Do it the way that you want to.
Note that I see minmax not only as one of the methods but also as one
possible definition of ideal winner with sincere votes (for some society
with some set of needs).
Many voters would vote sincerely since that's what they believe is the
Voting in way that's more likely to elect someone who won't hurt a lot of
people is hardly unethical.
But a society where nobody cheats is highly ethical :-).
Offensive strategy isn't cheating. It complies fully with the voting-rules.
All that you've been saying here suggests that you'd be happier with
Approval, Score, or Bucklin. As I said, they're fine methods.
Burying someone in your strong bottom-set doesn't need good predictive
information.
This sounds like you are talking about a society that has been living too
long under a two-party rule
-
The Democrats & Repugnicans aren't two parties. They're one party with
two right wings.
-
Parties don't rule in a democracy. The public rule, by electing whom
they want to. Of course we don't have democracy. If that's what you meant,
then you're quite right. But still, the Democrats & Repubnicans don't
"rule". They're pseudodemocratic charade-theater. If you want to find out
who rules, then search Google for "Who Rules America, by G. William
Domhoff".
Better idea: Just be glad if you have legitimate democracy.
, and where things are either black or white,
You haven't a clue what you're talking about. I reside here. You don't.
Progressives vs Repubugnocrats? It doesn't get any more stark "black or
white" than that. But you can't be expected to know that.So maybe you
shouldn't be telling me about how it really is :^)
and where people hate to give up that way of thinking
You're completely unclear regarding what "way of thinking" you're talking
about. The stark difference between progressive candidates, vs
Repugnocratic candidates has nothing to do with "way of thinking". It's
simple plain fact. But, again, you can't be expected to know that.
Maybe you need to not be explaining to me about the country in which I
reside. Does it occur to you that that's more than a little pretentious,
presumptuous & egotistical on your part?
, and where people therefore will use also more civilised methods like
ranked methods as if there were only black and white candidates
It's ridiculous to say that ranked methods are "more civilized".
As for the candidates here, the Repugnocrats are remarkably consistently
uniform in regards to moral character & honesty. The distinction between
the progressives & the Repugnocrats is remarkably sharp and
...well...distinct.
"...as if..." ?
It really couldn't be any more starkly "black & white" than it is.
Strategy can't do any significant harm if the CWs is in your strong
bottom-set.
True for any method when the sincere winner is in the bottom-set.
Quite.
But, as I've said, I doubt that the CWs would be a bottom-set candidate for
the 99%.
As I said, in Internet polls, the CWv is usually someone like Jill or
Bernie, or Nader.
Now, I'd say that we've both said what we have to say on this matter. I say
that, because we've been saying the same things over & over again.
Michael Ossipoff
[Replying farther down] :
On Wed, Dec 21, 2016 at 4:36 AM, Juho Laatu <juho.laatu@gmail.com> wrote:
> On 21 Dec 2016, at 05:21, Michael Ossipoff <email9648742@gmail.com> wrote:
>
>
> Ok, MAM is a quite decent method. If strategic voting is minimal, I guess
>> you pick the method that gives best results with sincere votes. I'm still
>> lacking good understanding of why exactly MAM would produce best winners
>> with sincere votes.
>>
>
> MAM is the ideal, among the methods that look only at pairwise-defeats and
> their strengths, and that comes from MAM's definition:
>
> MAM:
>
> A pairwise defeat is affirmed if it isn't the weakest defeat in a cycle
> whose other defeats are affirmed.
>
> A alternative wins if it doesn't have an affirmed defeat.
>
> [end of MAM definition]
>
> It couldn't get any more minimal & ideal than that. MAM (unlike Beatpath,
> etc.) never unnecessarily disregards a pairwise defeat (by electing someone
> who has the defeat).
>
> In a method based only on pairwise defeats & their strengths, the only
> thing that should nullify a defeat would be if that defeat is the weakest
> in a cycle, and if the other defeats in that cycle aren't nullified in that
> way.
>
>
> I look at the world from a somewhat different angle here. I don't see what
> the relevance of beatpaths is in real life.
>
Beatpath, not MAM, is defined in terms of beatpaths.
But maybe you just mean that a cycle can be called a pair of beatpaths in
both directions between 2 candidates.
The "relevance of cycles in real life?
I'll say it again (but I won't continue to keep saying it):
A pairwise-defeat is voted public preference.
A cycle renders meaningless the defeats in the cycle. Therefore cycles have
relevance.
> I mean that I can not see what difference it makes to the society if there
> is a chain of defeats with certain strengths, if the target is to elect the
> best leader or best some other alternative.
>
You keep repeating that. And then, of course I keep repeating my answer to
it (but I won't continue doing so):
Sure, likely the Approval winner is better than the winner by a
pairwise-count method.
There are 2 reasons to consider a rank-method:
1. It's possible for a ranking method to provide a convenient, easy &
reliable means for avoiding chicken-dilemma.
2. Many people have a psychological need for rankings.
Some people think that they need to elect the CWs, which is easier with a
pairwise-count rank method. Some overcompromisers or rival parties would
avoid or soften their voting-errors, when voting with rankings.
3. Finding the CWs, via a poll, can be important, because the CWs is
typically the best candidate that people can get?
Is there something familiar about this? Oh yes, that's it: This is the same
thing that we've both been saying over and over again. But I'm not going to
continue doing so.
> Beatpaths
>
....by which you mean cycles, because you presumably want to call a cycle a
pair of opposite-direction beatpaths between 2 candidates.
> seem to serve the need to linearize the opinions of the group
>
No. Cycles are relevant if pairwise defeats are of interest. A pairwise
defeat is a voted public preference.
> , or to "break cycles", which I think is not in the requirements list of
> an election or poll.
>
Nonsense. Defeats in a cycle aren't saying anything about public wishes.
Should an election or poll reflect public wishes? :^) There are voting
systems that look only at pairwise preferences. MAM is one of them. MAM,
for example, has many desirable properties.
But I have no idea what your "reqirements list is (or what is the "best
winner" that you keep talking about). But that's ok. It's your business.
Far be it for me to tell you what your "requirements list" or "best winner"
should be.
Quite possibly your requirements list and your best winner aren't gotten by
pairwise-count methods. Fine. You've still got Approval, Score, and
Bucklin, all good methods.
> That is more like an aesthetic preference, or a mistaken idea that group
> opinions should be straightened to linear opinions.
>
If you say so.
> I agree that MAM could be seen as aesthetically beautiful, but I thus fail
> to see the connection to the targets of the election / poll (to find the
> best winner with sincere votes).
>
That would depend on your (often referred to but never stated) opinion
about what is the target of the election or the best winner.
You (presumably) know what your target for the election/poll is, and what
your best winner would be. By all means feel free to implement your
opinions, when you choose a voting system!
Or do we all have to abide by your target and your best winner? :^)
> In comparison for example the target of minmax is much clearer - elect a
> candidate that people will not oppose too much while he is in office,
> measured as strength of interest to change him to one of the competitors in
> opposition.
>
MinMax has, for years, been widely-regarded as not doing as well as MAM, in
a number of ways. But if you like it better, then use it next time you do a
poll, or advocate it for electing officeholders where you live.
You have a right to do those things!
Go for it!
> Also approval and range are easy to explain from the "possible needs of
> the society" perspective.
>
So very true.
>
> Additionally, MAM has excellent burial-deterrence & thwarting. That's why
> I use MAM, in Pairwise-Winner(MAM, Smith,MMPO). ...for MAM's
> burial-deterrence. But MMPO, & not MAM, is chicken-dilemma defection-proof,
> which is why I like to combine both of their strategic advantages, in
> P(MAM, Smith,MMPO), for polls with possibly offensive-strategic voters.
>
>
> This is about strategic voting
>
Are you sure? :^)
> , not about which method is best with sincere votes.
>
I said that P(MAM, Smith,MMPO) is for electorates in which offensive
strategy would be particularly likely, unless deterred or at least thwarted.
Have we established that yet?
MAM is also very good with sincere voting. MAM is a component of
P(MAM, Smith,MMPO).
> Not to be counted in favour of MAM in this branch of discussion.
>
That MAM is good with sincere votes is to be counted in MAM's favor.
[Replying farther down] :
>
> I can't say why it's important to guarantee that the winner is in the
>> voted Smith-set, other than that it confers compliance with various
>> criteria, including Mutual-Majority.
>>
>>
>> That's a good answer since there are situations where one can justify
>> electing from a Smith set that consists of very similar minded clones. The
>> top cycle can be sincere or strategic. The same matrix can however probably
>> be also a result of sincere votes where the Smith set candidates are not
>> clones but a much more competitive group. In such cases it could make sense
>> to elect outside the Smith set. One key point here is that information in
>> the matrix is limited, and it is impossible to say if there are clones, and
>> which preferences are strong and which ones weak.
>>
>
> But, with pairwise-count methods, the number of people voting a preference
> stands-in as an indication of its importance, imperfect though that may be.
>
> It's important to find out the CWs, because that's the best that anyone
> can expect to get. Truncation-proof MAM & MMPO still elect the CWs when
> someone truncates it. MAM's deterrence of burial, improves the likelihood
> of electing the CWs if there is one--& there usually is one.
>
>
> Yes. I think in this discussion we focus solely on methods where CWs is
> considered to be the ideal winner, and preference is measured solely as
> pairwise comparisons, that in most methods are derived from the pairwise
> matrix.
>
That's because, as I've already said many, many times, this thread
originated about polls that I conduct with the purpose of finding the CWs.
> And I claim that under these assumptions some methods can easily justify
> selecting the winner also outside the Smith set.
>
...because that will make the method more likely to choose the CWs when
there is one? :^)
But, as I said, I cordially invite you to use the methods of your choice,
for polls, and for your proposals for how to elect officeholders where you
reside.
[Replying farther down] :
>
> But, because one member of the voted Smith set will be the CWs, if
>> truncation or burial is being attempted against it (neuter gender because
>> I'm talking about poll-alternatives) then that means that disqualifying
>> non-members of the voted Smith-set narrows the field in a way favorable to
>> the CWs.
>>
>>
>> It is not possible to tell if there was a CWs.
>>
>
> True, but if there is one, then it will win even if there's a
> truncation-caused cycle.
>
>
> Also some other member of the Smith set might win.
>
No kidding?
More likely with some methods than others. Choose the manner of selecting
from the Smith set accordingly.
But, primarily, do what *you* want.
> And the CWs could be also outside of the Smith set as a result of
> strategic voting.
>
No.
Truncation or burial against the CWs will result in a top-cycle that
includes the CWs.
>
> Truncation-proofness is important, even in a sincere electorate, because
> truncation can be non-strategic (lazy, hurried, principled, etc.).
>
>
> Here my medicine would be to educate voters to cast fuller votes (to rank
> at least the potential winners).
>
If you mean "Try to rank down to the CWs", then that's valid strategy for
trying to get the best you can (if that's your goal). You could also say
"Rank the best candidates.", or "Rank only your strong top-set."
> If they truncate for non-strategic reasons, we must assume that their
> preferences are flat with the rest of the candidates.
>
No. Maybe they're in a hurry. Maybe they don't want to bother or take the
time, even though they have lower preferences too.
But there's no point in assuming what you said, because your "If" is,
itself, an unsupported assumption. You don't know that they truncated for
nonstrategic reasons.
> It is not possible to tell which voters did that on purpose and which ones
> by mistake or laziness.
>
Quite.
>
> The top loop can be sincere as well (or a result of various good and bad
>> strategies). And the best sincere winner might be also outside the Smith
>> set.
>>
>
> Certainly, because it would be possible for the alternative satisfactory
> to the most people to be outside the Smith set. But probably it will
> usually be the CWs, or in the sincere Smith set if there isn't a CWs.
>
>
> I wouldn't assume anything on the probability of finding the best winner
> within or outside the Smith set.
>
Suit yourself.
In all of our EM polls, Approval, Score elected Condorcet's CWv.
[Replying farther down] :
> With sincere votes that depends on what our criteria for the best winner
> are (when there is no CWs). With all kind of strategic and lazy votes, the
> location of the best winner is even more difficult to guess (it is e.g.
> possible that multiple groups try to bury the CWs).
>
> Note that electing outside the Smith set may sometimes also help us, e.g.
>>> by making strategic plans void by not electing the (possibly strongly
>>> top-looped) favourite of the strategists.
>>>
>>
>> Maybe, but, by pairwise-count standards, electing from the Smith set
>> keeps the winner among the pairwise publicly-favored candidates.
>>
>>
>> I don't understand your definition of "pairwise publicly-favored
>> candidates". Why can't candidates outside the Smith set be such candidates?
>>
>
> Because, pairwise is what the Smith set is about. Something outside the
> Smith set might be more approved than the Smith set members, but it won't
> be pairwise publicly preferred to them.
>
>
> I claim that with some pairwise preference based criteria of best winner,
> the best winner could be outside of the Smith set.
>
Yes, evidently some pairwise preference based criteria that aren't about
pairwise defeats or their strength. Fine. You have a right to value
whatever standards you want to, and use whatever polling methods you want
to.
In polling, my purpose is finding the CWs (there usually is one).
But you're free to have entirely different goals & purposes. Go for it!
[Replyng farther down] :
> No references to approval or range style thinking needed. The simplest
> example is minmax (seen as a definition of the ideal winner). See comments
> above.
>
> I mean situations where the leading candidate outside the Smith set could
>> lose by one vote to all the Smith set members. Losing only marginally to
>> many candidates could be a better result than losing a lot to fewer
>> candidates.
>>
>
> Sure, that could be argued on ethical grounds. But pairwise defeats are
> what's important if you want to avoid an angry majority who prefer someone
> else to the winner.
>
> And the CWs is important to find, in polls, because it's the best that
> anyone can get (unless they're a good offensive strategist, in an election
> or poll using a method vulnerable to that strategy).
>
>
> Yes, pairwise preferences and CWs are the norm in this discussion. See
> above.
>
> Of course, in an election, when Approval elects the candidate approved,
>> considered satisfactory by the most people, is probably more important than
>> electing the CWs or from the sincere Smith-set.
>>
>>
>> Also pairwise comparisons can sometimes lead to situations where best
>> candidate (based on those pairwise comparisons) is found outside the Smith
>> set. (see the marginal loss example above)
>>
>
> Yes. looking at the strength of pairwise oppositions instead of at
> pairwise defeats. But the pairwise defeats have great importance in regards
> to finding the best that we can get.
>
>
> The simplest is pairwise margins. You could elect the candidate whose
> worst pairwise margin is least bad, and that candidate could be outside of
> the Smith set.
>
You could do whatever you want to. whatever you think is best.
Not everyone would agree with you about the merits of margins. But don't
worry about that. Do it the way that *you* want to.
> Note that I see minmax not only as one of the methods but also as one
> possible definition of ideal winner with sincere votes (for some society
> with some set of needs).
>
> Many voters would vote sincerely since that's what they believe is the
>> right thing to do.
>>
>
> Voting in way that's more likely to elect someone who won't hurt a lot of
> people is hardly unethical.
>
>
> But a society where nobody cheats is highly ethical :-).
>
Offensive strategy isn't cheating. It complies fully with the voting-rules.
All that you've been saying here suggests that you'd be happier with
Approval, Score, or Bucklin. As I said, they're fine methods.
>
> Burying someone in your strong bottom-set doesn't need good predictive
> information.
>
>
> This sounds like you are talking about a society that has been living too
> long under a two-party rule
>
1. The Democrats & Repugnicans aren't two parties. They're one party with
two right wings.
2. Parties don't rule in a democracy. The public rule, by electing whom
they want to. Of course we don't have democracy. If that's what you meant,
then you're quite right. But still, the Democrats & Repubnicans don't
"rule". They're pseudodemocratic charade-theater. If you want to find out
who rules, then search Google for "Who Rules America, by G. William
Domhoff".
Better idea: Just be glad if you have legitimate democracy.
> , and where things are either black or white,
>
You haven't a clue what you're talking about. I reside here. You don't.
Progressives vs Repubugnocrats? It doesn't get any more stark "black or
white" than that. But you can't be expected to know that.So maybe you
shouldn't be telling me about how it really is :^)
> and where people hate to give up that way of thinking
>
You're completely unclear regarding what "way of thinking" you're talking
about. The stark difference between progressive candidates, vs
Repugnocratic candidates has nothing to do with "way of thinking". It's
simple plain fact. But, again, you can't be expected to know that.
Maybe you need to not be explaining to me about the country in which I
reside. Does it occur to you that that's more than a little pretentious,
presumptuous & egotistical on your part?
> , and where people therefore will use also more civilised methods like
> ranked methods as if there were only black and white candidates
>
It's ridiculous to say that ranked methods are "more civilized".
As for the candidates here, the Repugnocrats are remarkably consistently
uniform in regards to moral character & honesty. The distinction between
the progressives & the Repugnocrats is remarkably sharp and
...well...distinct.
"...as if..." ?
It really couldn't be any more starkly "black & white" than it is.
>
> Strategy can't do any significant harm if the CWs is in your strong
> bottom-set.
>
>
> True for any method when the sincere winner is in the bottom-set.
>
Quite.
But, as I've said, I doubt that the CWs would be a bottom-set candidate for
the 99%.
As I said, in Internet polls, the CWv is usually someone like Jill or
Bernie, or Nader.
Now, I'd say that we've both said what we have to say on this matter. I say
that, because we've been saying the same things over & over again.
Michael Ossipoff
>
> BR, Juho
>
>
>
> ----
> Election-Methods mailing list - see http://electorama.com/em for list info
>
>
JL
Juho Laatu
Thu, Dec 22, 2016 12:58 PM
I wrote lengthy answers below. But it seems that we are already pretty close to consensus. My intention has been all the time to talk about ranked preferences only (and sincere votes). The only remaining obvious difference seemed to be in the question of whether the best sincere winner (according to some appropriate criteria) could be found outside the Smith set. The point is that some candidate outside the Smith set can be few votes short of being a CWs (talking about sincere votes here). And at the same time all members of the Smith set can lose with great margin to one/some of the other candidates. They are thus not even near of being CWs, if measured in strength of losses and needed changes in opinions to become a CWs. My claim thus is that a candidate that would have been a CWs, if few voters more would have voted for him, can not really be a very bad candidate. He could actually be the best candidate to elect. And all this considering only the given pairwise preferences, nothing else (no preference strengths, approvals etc.), both within the method and in any arguments on who the best winner might be. Do we agree or disagree on that?
You may well skip the rest of the mail, or read is as FYI only, if you like, since it doesn't add much to what has already been said.
Ok, MAM is a quite decent method. If strategic voting is minimal, I guess you pick the method that gives best results with sincere votes. I'm still lacking good understanding of why exactly MAM would produce best winners with sincere votes.
MAM is the ideal, among the methods that look only at pairwise-defeats and their strengths, and that comes from MAM's definition:
MAM:
A pairwise defeat is affirmed if it isn't the weakest defeat in a cycle whose other defeats are affirmed.
A alternative wins if it doesn't have an affirmed defeat.
[end of MAM definition]
It couldn't get any more minimal & ideal than that. MAM (unlike Beatpath, etc.) never unnecessarily disregards a pairwise defeat (by electing someone who has the defeat).
In a method based only on pairwise defeats & their strengths, the only thing that should nullify a defeat would be if that defeat is the weakest in a cycle, and if the other defeats in that cycle aren't nullified in that way.
I look at the world from a somewhat different angle here. I don't see what the relevance of beatpaths is in real life.
Beatpath, not MAM, is defined in terms of beatpaths.
But maybe you just mean that a cycle can be called a pair of beatpaths in both directions between 2 candidates.
Yes, sorry, I intended to talk about paths of pairwise losses in general, not one specific way of dealing with them.
The "relevance of cycles in real life?
I'll say it again (but I won't continue to keep saying it):
A pairwise-defeat is voted public preference.
A cycle renders meaningless the defeats in the cycle. Therefore cycles have relevance.
I would say that group opinions may be cyclic. Cyclic opinions may be problematic because it is not very easy to identify the winner, but surely all pairwise defeats are meaningful, also those that are part of a cycle. A cycle can be said to be less meaningful to a society than a pairwise opinion since the needs of the society may be more directly related to questions like "is A better than B" than to questions like "is there a chain of positive preferences from A to B". A path would be directly relevant to a society e.g. if there was a plan to first elect B, then agree to change B to X, then to Y, and finally to A. But usually there is no need for such activities. Cycles can be said to be relevant, as you say, even if the society has no direct interest in them.
I mean that I can not see what difference it makes to the society if there is a chain of defeats with certain strengths, if the target is to elect the best leader or best some other alternative.
You keep repeating that. And then, of course I keep repeating my answer to it (but I won't continue doing so):
Sure, likely the Approval winner is better than the winner by a pairwise-count method.
There are 2 reasons to consider a rank-method:
-
It's possible for a ranking method to provide a convenient, easy & reliable means for avoiding chicken-dilemma.
-
Many people have a psychological need for rankings.
Some people think that they need to elect the CWs, which is easier with a pairwise-count rank method. Some overcompromisers or rival parties would avoid or soften their voting-errors, when voting with rankings.
- Finding the CWs, via a poll, can be important, because the CWs is typically the best candidate that people can get?
Is there something familiar about this? Oh yes, that's it: This is the same thing that we've both been saying over and over again. But I'm not going to continue doing so.
In my previous mail I tried to emphasize that whatever I said about Smith set and also paths had nothing to do with approval or range style argumentation, and nothing to do with strategic voting. My target was to discuss who is the best winner with sincere votes, taking only pairwise preferences (in the matrix, and optionally also those of individual voters) into account (i.e. no approval considerations etc.). And the key claim was that (depending on what kind of criteria the society has) the best winner could be sometimes found outside the Smith set. This is related to the claim that the winner may be identified also by other means than "breaking cycles".
Beatpaths
....by which you mean cycles, because you presumably want to call a cycle a pair of opposite-direction beatpaths between 2 candidates.
Yes. I note that some of my comments on paths apply to non-cyclic paths too.
seem to serve the need to linearize the opinions of the group
No. Cycles are relevant if pairwise defeats are of interest. A pairwise defeat is a voted public preference.
With "linearization" I mean the activity of "breaking cycles" so that some preferences are "ignored" in order to make one of the candidates "winner without losses". The target seems to be to make group opinions look like individual voter opinions, that we can expect to be always linear. My preference is to accept the fact that group opinions may sometimes be cyclic (nothing wrong with that), and be able to identify the best winner despite of then. That process may not need any "breaking of cycles" / "linearization".
, or to "break cycles", which I think is not in the requirements list of an election or poll.
Nonsense. Defeats in a cycle aren't saying anything about public wishes. Should an election or poll reflect public wishes? :^) There are voting systems that look only at pairwise preferences. MAM is one of them. MAM, for example, has many desirable properties.
But I have no idea what your "reqirements list is (or what is the "best winner" that you keep talking about). But that's ok. It's your business. Far be it for me to tell you what your "requirements list" or "best winner" should be.
Quite possibly your requirements list and your best winner aren't gotten by pairwise-count methods. Fine. You've still got Approval, Score, and Bucklin, all good methods.
Let's talk about pairwise preferences only. If some community needs an election method, I might ask them what kind of a candidate they want to win. They might say that they want a good compromise candidate, or one that is not controversial, one that has only weak opposition, or one that voters would not like to change to numerous other candidates. I exclude opinions like "widely approved" here since we are talking about preferences only. After hearing those requirements of the society I might be able to point out which election method would do what they want it to do. I wold probably tell them what method seems to be the best with sincere votes, but I would address also possibility of strategic voting and possible need to use some other method than the one that provides best results with sincere votes.
That is more like an aesthetic preference, or a mistaken idea that group opinions should be straightened to linear opinions.
If you say so.
I agree that MAM could be seen as aesthetically beautiful, but I thus fail to see the connection to the targets of the election / poll (to find the best winner with sincere votes).
That would depend on your (often referred to but never stated) opinion about what is the target of the election or the best winner.
See above. In principle I let the society tell me what kind of winner they want, and then try to pick the best method for them (covering both sincere votes and possibility of strategic voting). We can also discuss which method is best with sincere votes. A good discussion would include a description of what makes a good candidate (or multiple alternative descriptions).
You (presumably) know what your target for the election/poll is, and what your best winner would be. By all means feel free to implement your opinions, when you choose a voting system!
Or do we all have to abide by your target and your best winner? :^)
In principle I leave it up to the society to tell what they want. But I can give some examples. The simplest to explain is minmax(margins). One definition of it says that (assuming sincere votes) it elects the candidate that needs least number of additional votes to become a CWs. That criterion can be considered to be a valid definition of "best winner" by some society. The society might think that this winner is strong and good leader since he needs only a minimal amount of additional support to make decisions (maybe to thwart the proposals of the former competitors) when in office. This is certainly not the only way to define which candidate is the ideal winner to a society, and there may be additional criteria, but this is one possible target that is easy to meet with one particular method.
(I find it more difficult to create this kind of (real life related) explanations (on who is the best winner) for methods that are based on paths and breaking cycles.)
In comparison for example the target of minmax is much clearer - elect a candidate that people will not oppose too much while he is in office, measured as strength of interest to change him to one of the competitors in opposition.
MinMax has, for years, been widely-regarded as not doing as well as MAM, in a number of ways. But if you like it better, then use it next time you do a poll, or advocate it for electing officeholders where you live.
You have a right to do those things!
Go for it!
Also approval and range are easy to explain from the "possible needs of the society" perspective.
So very true.
Additionally, MAM has excellent burial-deterrence & thwarting. That's why I use MAM, in Pairwise-Winner(MAM, Smith,MMPO). ...for MAM's burial-deterrence. But MMPO, & not MAM, is chicken-dilemma defection-proof, which is why I like to combine both of their strategic advantages, in
P(MAM, Smith,MMPO), for polls with possibly offensive-strategic voters.
This is about strategic voting
Are you sure? :^)
Words like "burial" seem to refer to strategic voting scenarios, not to performance with sincere votes.
, not about which method is best with sincere votes.
I said that P(MAM, Smith,MMPO) is for electorates in which offensive strategy would be particularly likely, unless deterred or at least thwarted.
Have we established that yet?
I tried to focus on performance with sincere votes. Performance with strategies is another interesting area of discussion, but I tried to keep the discussion simple and avoid strategic considerations at this point since it seems we did not find common language on the sincere side yet, and the points I wanted to make dealt with performance with sincere votes (= who is the best winner with sincere votes).
MAM is also very good with sincere voting. MAM is a component of
P(MAM, Smith,MMPO).
Not to be counted in favour of MAM in this branch of discussion.
That MAM is good with sincere votes is to be counted in MAM's favor.
Yes. As I said, so far I have seen some elegance / aesthetics in MAM, but I'm not able to translate that to an explanation why MAM would pick the best winner for some society with sincere votes.
One viewpoint to path and cycle breaking based methods is that they provide us with a complete linear order, or at least parts of such ordering, allowing us to visualize the candidates so that there is one candidate at the top, then members of the Smith set, and then the rest. Some of the preferences would be discarded and thrown aside. My point here is that this image might be easy to sell to the public, claiming that the best candidate won. But I still have difficulties explaining to myself why forcing natural cyclic group opinions to a more linear looking graph would be needed to identify the best winner. My example of sometimes finding the best winner outside the Smith set is intended to demonstrate that sometimes a linear ordering like visualization might not make sense at all.
[Replying farther down] :
I can't say why it's important to guarantee that the winner is in the voted Smith-set, other than that it confers compliance with various criteria, including Mutual-Majority.
That's a good answer since there are situations where one can justify electing from a Smith set that consists of very similar minded clones. The top cycle can be sincere or strategic. The same matrix can however probably be also a result of sincere votes where the Smith set candidates are not clones but a much more competitive group. In such cases it could make sense to elect outside the Smith set. One key point here is that information in the matrix is limited, and it is impossible to say if there are clones, and which preferences are strong and which ones weak.
But, with pairwise-count methods, the number of people voting a preference stands-in as an indication of its importance, imperfect though that may be.
It's important to find out the CWs, because that's the best that anyone can expect to get. Truncation-proof MAM & MMPO still elect the CWs when someone truncates it. MAM's deterrence of burial, improves the likelihood of electing the CWs if there is one--& there usually is one.
Yes. I think in this discussion we focus solely on methods where CWs is considered to be the ideal winner, and preference is measured solely as pairwise comparisons, that in most methods are derived from the pairwise matrix.
That's because, as I've already said many, many times, this thread originated about polls that I conduct with the purpose of finding the CWs.
And I claim that under these assumptions some methods can easily justify selecting the winner also outside the Smith set.
...because that will make the method more likely to choose the CWs when there is one? :^)
That example assumed that there is no CWs.
But, as I said, I cordially invite you to use the methods of your choice, for polls, and for your proposals for how to elect officeholders where you reside.
[Replying farther down] :
But, because one member of the voted Smith set will be the CWs, if truncation or burial is being attempted against it (neuter gender because I'm talking about poll-alternatives) then that means that disqualifying non-members of the voted Smith-set narrows the field in a way favorable to the CWs.
It is not possible to tell if there was a CWs.
True, but if there is one, then it will win even if there's a truncation-caused cycle.
Also some other member of the Smith set might win.
No kidding?
More likely with some methods than others. Choose the manner of selecting from the Smith set accordingly.
But, primarily, do what you want.
And the CWs could be also outside of the Smith set as a result of strategic voting.
No.
Truncation or burial against the CWs will result in a top-cycle that includes the CWs.
You seem to refer to a successful burial of one candidate. Let's say there are three parties of about equal size, L, C and R. One of the C (centre) candidates is a CWs. Both L and R supporters consider other parties to be in their bottom-set, and they follow the strategy that you presented, and bury C candidates under either L or R candidates. It is quite possible that there will be a Smith set that consists of L and R candidates, and CWs is not in this set (since up to 66% of the voters may have buried it).
Truncation-proofness is important, even in a sincere electorate, because truncation can be non-strategic (lazy, hurried, principled, etc.).
Here my medicine would be to educate voters to cast fuller votes (to rank at least the potential winners).
If you mean "Try to rank down to the CWs", then that's valid strategy for trying to get the best you can (if that's your goal). You could also say "Rank the best candidates.", or "Rank only your strong top-set."
My general guidance would be to rank at least all those candidates that are considered potential winners. I would not call this a strategy but just a warning against casting a weak vote that would not take position on which one of the (maybe two) strongest candidates should win.
If they truncate for non-strategic reasons, we must assume that their preferences are flat with the rest of the candidates.
No. Maybe they're in a hurry. Maybe they don't want to bother or take the time, even though they have lower preferences too.
But there's no point in assuming what you said, because your "If" is, itself, an unsupported assumption. You don't know that they truncated for nonstrategic reasons.
I wanted to say that the method must treat other truncations the same way it treats "sincere truncations".
It is not possible to tell which voters did that on purpose and which ones by mistake or laziness.
Quite.
The top loop can be sincere as well (or a result of various good and bad strategies). And the best sincere winner might be also outside the Smith set.
Certainly, because it would be possible for the alternative satisfactory to the most people to be outside the Smith set. But probably it will usually be the CWs, or in the sincere Smith set if there isn't a CWs.
I wouldn't assume anything on the probability of finding the best winner within or outside the Smith set.
Suit yourself.
In all of our EM polls, Approval, Score elected Condorcet's CWv.
[Replying farther down] :
With sincere votes that depends on what our criteria for the best winner are (when there is no CWs). With all kind of strategic and lazy votes, the location of the best winner is even more difficult to guess (it is e.g. possible that multiple groups try to bury the CWs).
Note that electing outside the Smith set may sometimes also help us, e.g. by making strategic plans void by not electing the (possibly strongly top-looped) favourite of the strategists.
Maybe, but, by pairwise-count standards, electing from the Smith set keeps the winner among the pairwise publicly-favored candidates.
I don't understand your definition of "pairwise publicly-favored candidates". Why can't candidates outside the Smith set be such candidates?
Because, pairwise is what the Smith set is about. Something outside the Smith set might be more approved than the Smith set members, but it won't be pairwise publicly preferred to them.
I claim that with some pairwise preference based criteria of best winner, the best winner could be outside of the Smith set.
Yes, evidently some pairwise preference based criteria that aren't about pairwise defeats or their strength. Fine. You have a right to value whatever standards you want to, and use whatever polling methods you want to.
I did not assume any other criteria.
In polling, my purpose is finding the CWs (there usually is one).
But you're free to have entirely different goals & purposes. Go for it!
[Replyng farther down] :
No references to approval or range style thinking needed. The simplest example is minmax (seen as a definition of the ideal winner). See comments above.
I mean situations where the leading candidate outside the Smith set could lose by one vote to all the Smith set members. Losing only marginally to many candidates could be a better result than losing a lot to fewer candidates.
Sure, that could be argued on ethical grounds. But pairwise defeats are what's important if you want to avoid an angry majority who prefer someone else to the winner.
And the CWs is important to find, in polls, because it's the best that anyone can get (unless they're a good offensive strategist, in an election or poll using a method vulnerable to that strategy).
Yes, pairwise preferences and CWs are the norm in this discussion. See above.
Of course, in an election, when Approval elects the candidate approved, considered satisfactory by the most people, is probably more important than electing the CWs or from the sincere Smith-set.
Also pairwise comparisons can sometimes lead to situations where best candidate (based on those pairwise comparisons) is found outside the Smith set. (see the marginal loss example above)
Yes. looking at the strength of pairwise oppositions instead of at pairwise defeats. But the pairwise defeats have great importance in regards to finding the best that we can get.
The simplest is pairwise margins. You could elect the candidate whose worst pairwise margin is least bad, and that candidate could be outside of the Smith set.
You could do whatever you want to. whatever you think is best.
Not everyone would agree with you about the merits of margins. But don't worry about that. Do it the way that you want to.
Note that I see minmax not only as one of the methods but also as one possible definition of ideal winner with sincere votes (for some society with some set of needs).
Many voters would vote sincerely since that's what they believe is the right thing to do.
Voting in way that's more likely to elect someone who won't hurt a lot of people is hardly unethical.
But a society where nobody cheats is highly ethical :-).
Offensive strategy isn't cheating. It complies fully with the voting-rules.
Ok, maybe word "cheat" should be defined that way and some other word should be used instead of it.
All that you've been saying here suggests that you'd be happier with Approval, Score, or Bucklin. As I said, they're fine methods.
Approval et. are out of scope here, as we both agree. :-)
Burying someone in your strong bottom-set doesn't need good predictive information.
This sounds like you are talking about a society that has been living too long under a two-party rule
-
The Democrats & Repugnicans aren't two parties. They're one party with two right wings.
-
Parties don't rule in a democracy. The public rule, by electing whom they want to. Of course we don't have democracy. If that's what you meant, then you're quite right. But still, the Democrats & Repubnicans don't "rule". They're pseudodemocratic charade-theater. If you want to find out who rules, then search Google for "Who Rules America, by G. William Domhoff".
Better idea: Just be glad if you have legitimate democracy.
, and where things are either black or white,
You haven't a clue what you're talking about. I reside here. You don't.
Ok, maybe black and black. :-)
Progressives vs Repubugnocrats? It doesn't get any more stark "black or white" than that. But you can't be expected to know that.So maybe you shouldn't be telling me about how it really is :^)
and where people hate to give up that way of thinking
You're completely unclear regarding what "way of thinking" you're talking about. The stark difference between progressive candidates, vs Repugnocratic candidates has nothing to do with "way of thinking". It's simple plain fact. But, again, you can't be expected to know that.
I don't want to make exact claims of any specific society. I just note that people might sometimes visualize the world in a "full spectrum of positive alternatives" way too.
Maybe you need to not be explaining to me about the country in which I reside. Does it occur to you that that's more than a little pretentious, presumptuous & egotistical on your part?
I don't want to be any more specific than that it appears that there is some criticism in the air, including the two-party dominance related aspects.
, and where people therefore will use also more civilised methods like ranked methods as if there were only black and white candidates
It's ridiculous to say that ranked methods are "more civilized".
I should have said "methods that allow also more expressive votes".
As for the candidates here, the Repugnocrats are remarkably consistently uniform in regards to moral character & honesty. The distinction between the progressives & the Repugnocrats is remarkably sharp and ...well...distinct.
"...as if..." ?
It really couldn't be any more starkly "black & white" than it is.
Strategy can't do any significant harm if the CWs is in your strong bottom-set.
True for any method when the sincere winner is in the bottom-set.
Quite.
But, as I've said, I doubt that the CWs would be a bottom-set candidate for the 99%.
Good news :-). That might mean that the bottom-set burial behaviour is not common (at least when there is a CWs).
BR, Juho
As I said, in Internet polls, the CWv is usually someone like Jill or Bernie, or Nader.
Now, I'd say that we've both said what we have to say on this matter. I say that, because we've been saying the same things over & over again.
Michael Ossipoff
BR, Juho
Election-Methods mailing list - see http://electorama.com/em http://electorama.com/em for list info
I wrote lengthy answers below. But it seems that we are already pretty close to consensus. My intention has been all the time to talk about ranked preferences only (and sincere votes). The only remaining obvious difference seemed to be in the question of whether the best sincere winner (according to some appropriate criteria) could be found outside the Smith set. The point is that some candidate outside the Smith set can be few votes short of being a CWs (talking about sincere votes here). And at the same time all members of the Smith set can lose with great margin to one/some of the other candidates. They are thus not even near of being CWs, if measured in strength of losses and needed changes in opinions to become a CWs. My claim thus is that a candidate that would have been a CWs, if few voters more would have voted for him, can not really be a very bad candidate. He could actually be the best candidate to elect. And all this considering only the given pairwise preferences, nothing else (no preference strengths, approvals etc.), both within the method and in any arguments on who the best winner might be. Do we agree or disagree on that?
You may well skip the rest of the mail, or read is as FYI only, if you like, since it doesn't add much to what has already been said.
> On 22 Dec 2016, at 07:14, Michael Ossipoff <email9648742@gmail.com> wrote:
>
>
> [Replying farther down] :
>
> On Wed, Dec 21, 2016 at 4:36 AM, Juho Laatu <juho.laatu@gmail.com <mailto:juho.laatu@gmail.com>> wrote:
>> On 21 Dec 2016, at 05:21, Michael Ossipoff <email9648742@gmail.com <mailto:email9648742@gmail.com>> wrote:
>
>> Ok, MAM is a quite decent method. If strategic voting is minimal, I guess you pick the method that gives best results with sincere votes. I'm still lacking good understanding of why exactly MAM would produce best winners with sincere votes.
>>
>> MAM is the ideal, among the methods that look only at pairwise-defeats and their strengths, and that comes from MAM's definition:
>>
>> MAM:
>>
>> A pairwise defeat is affirmed if it isn't the weakest defeat in a cycle whose other defeats are affirmed.
>>
>> A alternative wins if it doesn't have an affirmed defeat.
>>
>> [end of MAM definition]
>>
>> It couldn't get any more minimal & ideal than that. MAM (unlike Beatpath, etc.) never unnecessarily disregards a pairwise defeat (by electing someone who has the defeat).
>>
>> In a method based only on pairwise defeats & their strengths, the only thing that should nullify a defeat would be if that defeat is the weakest in a cycle, and if the other defeats in that cycle aren't nullified in that way.
>
> I look at the world from a somewhat different angle here. I don't see what the relevance of beatpaths is in real life.
>
> Beatpath, not MAM, is defined in terms of beatpaths.
>
> But maybe you just mean that a cycle can be called a pair of beatpaths in both directions between 2 candidates.
Yes, sorry, I intended to talk about paths of pairwise losses in general, not one specific way of dealing with them.
>
> The "relevance of cycles in real life?
>
> I'll say it again (but I won't continue to keep saying it):
>
> A pairwise-defeat is voted public preference.
>
> A cycle renders meaningless the defeats in the cycle. Therefore cycles have relevance.
I would say that group opinions may be cyclic. Cyclic opinions may be problematic because it is not very easy to identify the winner, but surely all pairwise defeats are meaningful, also those that are part of a cycle. A cycle can be said to be less meaningful to a society than a pairwise opinion since the needs of the society may be more directly related to questions like "is A better than B" than to questions like "is there a chain of positive preferences from A to B". A path would be directly relevant to a society e.g. if there was a plan to first elect B, then agree to change B to X, then to Y, and finally to A. But usually there is no need for such activities. Cycles can be said to be relevant, as you say, even if the society has no direct interest in them.
>
> I mean that I can not see what difference it makes to the society if there is a chain of defeats with certain strengths, if the target is to elect the best leader or best some other alternative.
>
> You keep repeating that. And then, of course I keep repeating my answer to it (but I won't continue doing so):
>
> Sure, likely the Approval winner is better than the winner by a pairwise-count method.
>
> There are 2 reasons to consider a rank-method:
>
> 1. It's possible for a ranking method to provide a convenient, easy & reliable means for avoiding chicken-dilemma.
>
> 2. Many people have a psychological need for rankings.
>
> Some people think that they need to elect the CWs, which is easier with a pairwise-count rank method. Some overcompromisers or rival parties would avoid or soften their voting-errors, when voting with rankings.
>
> 3. Finding the CWs, via a poll, can be important, because the CWs is typically the best candidate that people can get?
>
> Is there something familiar about this? Oh yes, that's it: This is the same thing that we've both been saying over and over again. But I'm not going to continue doing so.
In my previous mail I tried to emphasize that whatever I said about Smith set and also paths had nothing to do with approval or range style argumentation, and nothing to do with strategic voting. My target was to discuss who is the best winner with sincere votes, taking only pairwise preferences (in the matrix, and optionally also those of individual voters) into account (i.e. no approval considerations etc.). And the key claim was that (depending on what kind of criteria the society has) the best winner could be sometimes found outside the Smith set. This is related to the claim that the winner may be identified also by other means than "breaking cycles".
>
> Beatpaths
>
> ....by which you mean cycles, because you presumably want to call a cycle a pair of opposite-direction beatpaths between 2 candidates.
Yes. I note that some of my comments on paths apply to non-cyclic paths too.
>
> seem to serve the need to linearize the opinions of the group
>
> No. Cycles are relevant if pairwise defeats are of interest. A pairwise defeat is a voted public preference.
With "linearization" I mean the activity of "breaking cycles" so that some preferences are "ignored" in order to make one of the candidates "winner without losses". The target seems to be to make group opinions look like individual voter opinions, that we can expect to be always linear. My preference is to accept the fact that group opinions may sometimes be cyclic (nothing wrong with that), and be able to identify the best winner despite of then. That process may not need any "breaking of cycles" / "linearization".
>
> , or to "break cycles", which I think is not in the requirements list of an election or poll.
>
> Nonsense. Defeats in a cycle aren't saying anything about public wishes. Should an election or poll reflect public wishes? :^) There are voting systems that look only at pairwise preferences. MAM is one of them. MAM, for example, has many desirable properties.
>
> But I have no idea what your "reqirements list is (or what is the "best winner" that you keep talking about). But that's ok. It's your business. Far be it for me to tell you what your "requirements list" or "best winner" should be.
>
> Quite possibly your requirements list and your best winner aren't gotten by pairwise-count methods. Fine. You've still got Approval, Score, and Bucklin, all good methods.
Let's talk about pairwise preferences only. If some community needs an election method, I might ask them what kind of a candidate they want to win. They might say that they want a good compromise candidate, or one that is not controversial, one that has only weak opposition, or one that voters would not like to change to numerous other candidates. I exclude opinions like "widely approved" here since we are talking about preferences only. After hearing those requirements of the society I might be able to point out which election method would do what they want it to do. I wold probably tell them what method seems to be the best with sincere votes, but I would address also possibility of strategic voting and possible need to use some other method than the one that provides best results with sincere votes.
>
> That is more like an aesthetic preference, or a mistaken idea that group opinions should be straightened to linear opinions.
>
> If you say so.
>
>
> I agree that MAM could be seen as aesthetically beautiful, but I thus fail to see the connection to the targets of the election / poll (to find the best winner with sincere votes).
>
> That would depend on your (often referred to but never stated) opinion about what is the target of the election or the best winner.
See above. In principle I let the society tell me what kind of winner they want, and then try to pick the best method for them (covering both sincere votes and possibility of strategic voting). We can also discuss which method is best with sincere votes. A good discussion would include a description of what makes a good candidate (or multiple alternative descriptions).
>
> You (presumably) know what your target for the election/poll is, and what your best winner would be. By all means feel free to implement your opinions, when you choose a voting system!
>
> Or do we all have to abide by your target and your best winner? :^)
In principle I leave it up to the society to tell what they want. But I can give some examples. The simplest to explain is minmax(margins). One definition of it says that (assuming sincere votes) it elects the candidate that needs least number of additional votes to become a CWs. That criterion can be considered to be a valid definition of "best winner" by some society. The society might think that this winner is strong and good leader since he needs only a minimal amount of additional support to make decisions (maybe to thwart the proposals of the former competitors) when in office. This is certainly not the only way to define which candidate is the ideal winner to a society, and there may be additional criteria, but this is one possible target that is easy to meet with one particular method.
(I find it more difficult to create this kind of (real life related) explanations (on who is the best winner) for methods that are based on paths and breaking cycles.)
>
>
> In comparison for example the target of minmax is much clearer - elect a candidate that people will not oppose too much while he is in office, measured as strength of interest to change him to one of the competitors in opposition.
>
> MinMax has, for years, been widely-regarded as not doing as well as MAM, in a number of ways. But if you like it better, then use it next time you do a poll, or advocate it for electing officeholders where you live.
>
> You have a right to do those things!
>
> Go for it!
>
>
> Also approval and range are easy to explain from the "possible needs of the society" perspective.
>
> So very true.
>
>
>
>> Additionally, MAM has excellent burial-deterrence & thwarting. That's why I use MAM, in Pairwise-Winner(MAM, Smith,MMPO). ...for MAM's burial-deterrence. But MMPO, & not MAM, is chicken-dilemma defection-proof, which is why I like to combine both of their strategic advantages, in
>> P(MAM, Smith,MMPO), for polls with possibly offensive-strategic voters.
>
> This is about strategic voting
>
>
> Are you sure? :^)
Words like "burial" seem to refer to strategic voting scenarios, not to performance with sincere votes.
>
>
> , not about which method is best with sincere votes.
>
> I said that P(MAM, Smith,MMPO) is for electorates in which offensive strategy would be particularly likely, unless deterred or at least thwarted.
>
> Have we established that yet?
I tried to focus on performance with sincere votes. Performance with strategies is another interesting area of discussion, but I tried to keep the discussion simple and avoid strategic considerations at this point since it seems we did not find common language on the sincere side yet, and the points I wanted to make dealt with performance with sincere votes (= who is the best winner with sincere votes).
>
> MAM is also very good with sincere voting. MAM is a component of
> P(MAM, Smith,MMPO).
>
> Not to be counted in favour of MAM in this branch of discussion.
>
> That MAM is good with sincere votes is to be counted in MAM's favor.
Yes. As I said, so far I have seen some elegance / aesthetics in MAM, but I'm not able to translate that to an explanation why MAM would pick the best winner for _some_ society with sincere votes.
One viewpoint to path and cycle breaking based methods is that they provide us with a complete linear order, or at least parts of such ordering, allowing us to visualize the candidates so that there is one candidate at the top, then members of the Smith set, and then the rest. Some of the preferences would be discarded and thrown aside. My point here is that this image might be easy to sell to the public, claiming that the best candidate won. But I still have difficulties explaining to myself why forcing natural cyclic group opinions to a more linear looking graph would be needed to identify the best winner. My example of sometimes finding the best winner outside the Smith set is intended to demonstrate that sometimes a linear ordering like visualization might not make sense at all.
>
>
> [Replying farther down] :
>
>
>>> I can't say why it's important to guarantee that the winner is in the voted Smith-set, other than that it confers compliance with various criteria, including Mutual-Majority.
>>
>> That's a good answer since there are situations where one can justify electing from a Smith set that consists of very similar minded clones. The top cycle can be sincere or strategic. The same matrix can however probably be also a result of sincere votes where the Smith set candidates are not clones but a much more competitive group. In such cases it could make sense to elect outside the Smith set. One key point here is that information in the matrix is limited, and it is impossible to say if there are clones, and which preferences are strong and which ones weak.
>>
>> But, with pairwise-count methods, the number of people voting a preference stands-in as an indication of its importance, imperfect though that may be.
>>
>> It's important to find out the CWs, because that's the best that anyone can expect to get. Truncation-proof MAM & MMPO still elect the CWs when someone truncates it. MAM's deterrence of burial, improves the likelihood of electing the CWs if there is one--& there usually is one.
>
> Yes. I think in this discussion we focus solely on methods where CWs is considered to be the ideal winner, and preference is measured solely as pairwise comparisons, that in most methods are derived from the pairwise matrix.
>
> That's because, as I've already said many, many times, this thread originated about polls that I conduct with the purpose of finding the CWs.
Ok, approvals are out.
>
>
> And I claim that under these assumptions some methods can easily justify selecting the winner also outside the Smith set.
>
> ...because that will make the method more likely to choose the CWs when there is one? :^)
That example assumed that there is no CWs.
>
> But, as I said, I cordially invite you to use the methods of your choice, for polls, and for your proposals for how to elect officeholders where you reside.
>
> [Replying farther down] :
>
>
>>> But, because one member of the voted Smith set will be the CWs, if truncation or burial is being attempted against it (neuter gender because I'm talking about poll-alternatives) then that means that disqualifying non-members of the voted Smith-set narrows the field in a way favorable to the CWs.
>>
>> It is not possible to tell if there was a CWs.
>>
>> True, but if there is one, then it will win even if there's a truncation-caused cycle.
>
> Also some other member of the Smith set might win.
>
> No kidding?
>
> More likely with some methods than others. Choose the manner of selecting from the Smith set accordingly.
>
> But, primarily, do what you want.
>
> And the CWs could be also outside of the Smith set as a result of strategic voting.
>
> No.
>
> Truncation or burial against the CWs will result in a top-cycle that includes the CWs.
You seem to refer to a successful burial of one candidate. Let's say there are three parties of about equal size, L, C and R. One of the C (centre) candidates is a CWs. Both L and R supporters consider other parties to be in their bottom-set, and they follow the strategy that you presented, and bury C candidates under either L or R candidates. It is quite possible that there will be a Smith set that consists of L and R candidates, and CWs is not in this set (since up to 66% of the voters may have buried it).
>
>
>> Truncation-proofness is important, even in a sincere electorate, because truncation can be non-strategic (lazy, hurried, principled, etc.).
>
> Here my medicine would be to educate voters to cast fuller votes (to rank at least the potential winners).
>
> If you mean "Try to rank down to the CWs", then that's valid strategy for trying to get the best you can (if that's your goal). You could also say "Rank the best candidates.", or "Rank only your strong top-set."
My general guidance would be to rank at least all those candidates that are considered potential winners. I would not call this a strategy but just a warning against casting a weak vote that would not take position on which one of the (maybe two) strongest candidates should win.
>
> If they truncate for non-strategic reasons, we must assume that their preferences are flat with the rest of the candidates.
>
> No. Maybe they're in a hurry. Maybe they don't want to bother or take the time, even though they have lower preferences too.
>
> But there's no point in assuming what you said, because your "If" is, itself, an unsupported assumption. You don't know that they truncated for nonstrategic reasons.
I wanted to say that the method must treat other truncations the same way it treats "sincere truncations".
>
>
> It is not possible to tell which voters did that on purpose and which ones by mistake or laziness.
>
> Quite.
>
>
>
>> The top loop can be sincere as well (or a result of various good and bad strategies). And the best sincere winner might be also outside the Smith set.
>>
>> Certainly, because it would be possible for the alternative satisfactory to the most people to be outside the Smith set. But probably it will usually be the CWs, or in the sincere Smith set if there isn't a CWs.
>
> I wouldn't assume anything on the probability of finding the best winner within or outside the Smith set.
>
> Suit yourself.
>
> In all of our EM polls, Approval, Score elected Condorcet's CWv.
>
> [Replying farther down] :
>
> With sincere votes that depends on what our criteria for the best winner are (when there is no CWs). With all kind of strategic and lazy votes, the location of the best winner is even more difficult to guess (it is e.g. possible that multiple groups try to bury the CWs).
>
>>> Note that electing outside the Smith set may sometimes also help us, e.g. by making strategic plans void by not electing the (possibly strongly top-looped) favourite of the strategists.
>>>
>>> Maybe, but, by pairwise-count standards, electing from the Smith set keeps the winner among the pairwise publicly-favored candidates.
>>
>> I don't understand your definition of "pairwise publicly-favored candidates". Why can't candidates outside the Smith set be such candidates?
>>
>> Because, pairwise is what the Smith set is about. Something outside the Smith set might be more approved than the Smith set members, but it won't be pairwise publicly preferred to them.
>
> I claim that with some pairwise preference based criteria of best winner, the best winner could be outside of the Smith set.
>
> Yes, evidently some pairwise preference based criteria that aren't about pairwise defeats or their strength. Fine. You have a right to value whatever standards you want to, and use whatever polling methods you want to.
I did not assume any other criteria.
>
> In polling, my purpose is finding the CWs (there usually is one).
>
> But you're free to have entirely different goals & purposes. Go for it!
>
> [Replyng farther down] :
>
>
> No references to approval or range style thinking needed. The simplest example is minmax (seen as a definition of the ideal winner). See comments above.
>
>> I mean situations where the leading candidate outside the Smith set could lose by one vote to all the Smith set members. Losing only marginally to many candidates could be a better result than losing a lot to fewer candidates.
>>
>> Sure, that could be argued on ethical grounds. But pairwise defeats are what's important if you want to avoid an angry majority who prefer someone else to the winner.
>>
>> And the CWs is important to find, in polls, because it's the best that anyone can get (unless they're a good offensive strategist, in an election or poll using a method vulnerable to that strategy).
>
> Yes, pairwise preferences and CWs are the norm in this discussion. See above.
>
>>> Of course, in an election, when Approval elects the candidate approved, considered satisfactory by the most people, is probably more important than electing the CWs or from the sincere Smith-set.
>>
>> Also pairwise comparisons can sometimes lead to situations where best candidate (based on those pairwise comparisons) is found outside the Smith set. (see the marginal loss example above)
>>
>> Yes. looking at the strength of pairwise oppositions instead of at pairwise defeats. But the pairwise defeats have great importance in regards to finding the best that we can get.
>
> The simplest is pairwise margins. You could elect the candidate whose worst pairwise margin is least bad, and that candidate could be outside of the Smith set.
>
> You could do whatever you want to. whatever you think is best.
>
> Not everyone would agree with you about the merits of margins. But don't worry about that. Do it the way that you want to.
>
>
> Note that I see minmax not only as one of the methods but also as one possible definition of ideal winner with sincere votes (for some society with some set of needs).
>
>> Many voters would vote sincerely since that's what they believe is the right thing to do.
>>
>> Voting in way that's more likely to elect someone who won't hurt a lot of people is hardly unethical.
>
> But a society where nobody cheats is highly ethical :-).
>
> Offensive strategy isn't cheating. It complies fully with the voting-rules.
Ok, maybe word "cheat" should be defined that way and some other word should be used instead of it.
>
> All that you've been saying here suggests that you'd be happier with Approval, Score, or Bucklin. As I said, they're fine methods.
Approval et. are out of scope here, as we both agree. :-)
>
>
>> Burying someone in your strong bottom-set doesn't need good predictive information.
>
> This sounds like you are talking about a society that has been living too long under a two-party rule
>
> 1. The Democrats & Repugnicans aren't two parties. They're one party with two right wings.
>
> 2. Parties don't rule in a democracy. The public rule, by electing whom they want to. Of course we don't have democracy. If that's what you meant, then you're quite right. But still, the Democrats & Repubnicans don't "rule". They're pseudodemocratic charade-theater. If you want to find out who rules, then search Google for "Who Rules America, by G. William Domhoff".
>
> Better idea: Just be glad if you have legitimate democracy.
>
> , and where things are either black or white,
>
> You haven't a clue what you're talking about. I reside here. You don't.
Ok, maybe black and black. :-)
>
> Progressives vs Repubugnocrats? It doesn't get any more stark "black or white" than that. But you can't be expected to know that.So maybe you shouldn't be telling me about how it really is :^)
>
> and where people hate to give up that way of thinking
>
> You're completely unclear regarding what "way of thinking" you're talking about. The stark difference between progressive candidates, vs Repugnocratic candidates has nothing to do with "way of thinking". It's simple plain fact. But, again, you can't be expected to know that.
I don't want to make exact claims of any specific society. I just note that people might sometimes visualize the world in a "full spectrum of positive alternatives" way too.
>
> Maybe you need to not be explaining to me about the country in which I reside. Does it occur to you that that's more than a little pretentious, presumptuous & egotistical on your part?
I don't want to be any more specific than that it appears that there is some criticism in the air, including the two-party dominance related aspects.
>
>
> , and where people therefore will use also more civilised methods like ranked methods as if there were only black and white candidates
>
> It's ridiculous to say that ranked methods are "more civilized".
I should have said "methods that allow also more expressive votes".
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> As for the candidates here, the Repugnocrats are remarkably consistently uniform in regards to moral character & honesty. The distinction between the progressives & the Repugnocrats is remarkably sharp and ...well...distinct.
>
> "...as if..." ?
>
> It really couldn't be any more starkly "black & white" than it is.
>
>> Strategy can't do any significant harm if the CWs is in your strong bottom-set.
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> True for any method when the sincere winner is in the bottom-set.
>
> Quite.
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> But, as I've said, I doubt that the CWs would be a bottom-set candidate for the 99%.
Good news :-). That might mean that the bottom-set burial behaviour is not common (at least when there is a CWs).
BR, Juho
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> As I said, in Internet polls, the CWv is usually someone like Jill or Bernie, or Nader.
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> Now, I'd say that we've both said what we have to say on this matter. I say that, because we've been saying the same things over & over again.
>
>
> Michael Ossipoff
>
> BR, Juho
>
>
>
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>